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3119432640 = 26356153269
BaseRepresentation
bin1011100111101110…
…1100001111000000
322001101202121010020
42321323230033000
522342033321030
61233312133440
7140205511542
oct27173541700
98041677106
103119432640
111360924a05
12730837280
133a937013c
14218415692
15133cd6510
hexb9eec3c0

3119432640 has 112 divisors (see below), whose sum is σ = 10066751520. Its totient is φ = 818196480.

The previous prime is 3119432633. The next prime is 3119432669. The reversal of 3119432640 is 462349113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31926 + ... + 85194.

It is an arithmetic number, because the mean of its divisors is an integer number (89881710).

Almost surely, 23119432640 is an apocalyptic number.

3119432640 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 3119432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033375760).

3119432640 is an abundant number, since it is smaller than the sum of its proper divisors (6947318880).

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

3119432640 is a wasteful number, since it uses less digits than its factorization.

3119432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53350 (or 53340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3119432640 is about 55851.8812574832. The cubic root of 3119432640 is about 1461.1401365026.

The spelling of 3119432640 in words is "three billion, one hundred nineteen million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 53269 58560 106538 159807 213076 266345 319614 426152 532690 639228 799035 852304 1065380 1278456 1598070 1704608 2130760 2556912 3196140 3249409 3409216 4261520 5113824 6392280 6498818 8523040 9748227 10227648 12784560 12997636 16247045 17046080 19496454 25569120 25995272 32494090 38992908 48741135 51138240 51990544 64988180 77985816 97482270 103981088 129976360 155971632 194964540 207962176 259952720 311943264 389929080 519905440 623886528 779858160 1039810880 1559716320 3119432640