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3431113440 = 25357148153
BaseRepresentation
bin1100110010000010…
…1010001011100000
322212010020121210120
43030200222023200
524011331112230
61324244400240
7151011661116
oct31440521340
98763217716
103431113440
111500857347
127b90a6080
13428aca851
14247989ab6
15151351310
hexcc82a2e0

3431113440 has 48 divisors (see below), whose sum is σ = 10808008848. Its totient is φ = 914963456.

The previous prime is 3431113403. The next prime is 3431113447. The reversal of 3431113440 is 443111343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3431113440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431113447) 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, 3573597 + ... + 3574556.

It is an arithmetic number, because the mean of its divisors is an integer number (225166851).

Almost surely, 23431113440 is an apocalyptic number.

3431113440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431113440 is an abundant number, since it is smaller than the sum of its proper divisors (7376895408).

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

3431113440 is a wasteful number, since it uses less digits than its factorization.

3431113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148171 (or 7148163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3431113440 is about 58575.7069099469. The cubic root of 3431113440 is about 1508.2674513380.

Adding to 3431113440 its reverse (443111343), we get a palindrome (3874224783).

The spelling of 3431113440 in words is "three billion, four hundred thirty-one million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7148153 14296306 21444459 28592612 35740765 42888918 57185224 71481530 85777836 107222295 114370448 142963060 171555672 214444590 228740896 285926120 343111344 428889180 571852240 686222688 857778360 1143704480 1715556720 3431113440