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354540420 = 22325131031471
BaseRepresentation
bin10101001000011…
…101101110000100
3220201010112000200
4111020131232010
51211230243140
655103010500
711533354353
oct2510355604
9821115020
10354540420
11172146513
129a899a30
13585b5a40
143512d99a
15211d4030
hex1521db84

354540420 has 144 divisors (see below), whose sum is σ = 1170204672. Its totient is φ = 86365440.

The previous prime is 354540409. The next prime is 354540427. The reversal of 354540420 is 24045453.

It is not an unprimeable number, because it can be changed into a prime (354540427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240285 + ... + 241755.

Almost surely, 2354540420 is an apocalyptic number.

354540420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585102336).

354540420 is an abundant number, since it is smaller than the sum of its proper divisors (815664252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354540420 is a wasteful number, since it uses less digits than its factorization.

354540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 354540420 is about 18829.2437447711. The cubic root of 354540420 is about 707.7641893989.

Adding to 354540420 its reverse (24045453), we get a palindrome (378585873).

The spelling of 354540420 in words is "three hundred fifty-four million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 309 390 412 468 515 585 618 780 927 1030 1170 1236 1339 1471 1545 1854 2060 2340 2678 2942 3090 3708 4017 4413 4635 5356 5884 6180 6695 7355 8034 8826 9270 12051 13239 13390 14710 16068 17652 18540 19123 20085 22065 24102 26478 26780 29420 38246 40170 44130 48204 52956 57369 60255 66195 76492 80340 88260 95615 114738 120510 132390 151513 172107 191230 229476 241020 264780 286845 303026 344214 382460 454539 573690 606052 688428 757565 860535 909078 1147380 1363617 1515130 1721070 1818156 1969669 2272695 2727234 3030260 3442140 3939338 4545390 5454468 5909007 6818085 7878676 9090780 9848345 11818014 13636170 17727021 19696690 23636028 27272340 29545035 35454042 39393380 59090070 70908084 88635105 118180140 177270210 354540420