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3431402296 = 237113569953
BaseRepresentation
bin1100110010000111…
…0000101100111000
322212010210022000221
43030201300230320
524011414333141
61324254505424
7151014303220
oct31441605470
98763708027
103431402296
111500a34373
127b9205274
13428b9c17a
14247a23080
151513abbd1
hexcc870b38

3431402296 has 64 divisors (see below), whose sum is σ = 7438910400. Its totient is φ = 1453498368.

The previous prime is 3431402263. The next prime is 3431402297. The reversal of 3431402296 is 6922041343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431402297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600156 + ... + 3601108.

It is an arithmetic number, because the mean of its divisors is an integer number (116232975).

Almost surely, 23431402296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431402296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719455200).

3431402296 is an abundant number, since it is smaller than the sum of its proper divisors (4007508104).

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

3431402296 is a wasteful number, since it uses less digits than its factorization.

3431402296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 3431402296 is about 58578.1725218532. The cubic root of 3431402296 is about 1508.3097757792.

The spelling of 3431402296 in words is "three billion, four hundred thirty-one million, four hundred two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 569 791 904 953 1138 1582 1906 2276 3164 3812 3983 4552 6328 6671 7624 7966 13342 15932 26684 31864 53368 64297 107689 128594 215378 257188 430756 450079 514376 542257 753823 861512 900158 1084514 1507646 1800316 2169028 3015292 3600632 3795799 4338056 6030584 7591598 15183196 30366392 61275041 122550082 245100164 428925287 490200328 857850574 1715701148 3431402296