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313534432 = 2553223829
BaseRepresentation
bin10010101100000…
…010011111100000
3210211222012101101
4102230002133200
51120231100212
651040044144
710524666361
oct2254023740
9724865341
10313534432
11150a89072
1289003654
134cc59343
142d8d7b68
151c7d4157
hex12b027e0

313534432 has 48 divisors (see below), whose sum is σ = 632499840. Its totient is φ = 152934912.

The previous prime is 313534427. The next prime is 313534439. The reversal of 313534432 is 234435313.

It is a self number, because there is not a number n which added to its sum of digits gives 313534432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313534439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377794 + ... + 378622.

It is an arithmetic number, because the mean of its divisors is an integer number (13177080).

Almost surely, 2313534432 is an apocalyptic number.

313534432 is a gapful number since it is divisible by the number (32) 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 313534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316249920).

313534432 is an abundant number, since it is smaller than the sum of its proper divisors (318965408).

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

313534432 is a wasteful number, since it uses less digits than its factorization.

313534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its digits is 12960, while the sum is 28.

The square root of 313534432 is about 17706.9035124722. The cubic root of 313534432 is about 679.3523475968.

Adding to 313534432 its reverse (234435313), we get a palindrome (547969745).

The spelling of 313534432 in words is "three hundred thirteen million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 223 424 446 829 848 892 1658 1696 1784 3316 3568 6632 7136 11819 13264 23638 26528 43937 47276 87874 94552 175748 184867 189104 351496 369734 378208 702992 739468 1405984 1478936 2957872 5915744 9797951 19595902 39191804 78383608 156767216 313534432