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3107430016 = 2741896653
BaseRepresentation
bin1011100100110111…
…1001111010000000
322000120011210121121
42321031321322000
522331000230031
61232203002024
7140001501505
oct27115717200
98016153547
103107430016
111355077189
12728809314
133a6a29bb2
142169ad4ac
15132c15011
hexb9379e80

3107430016 has 64 divisors (see below), whose sum is σ = 6413790600. Its totient is φ = 1498562560.

The previous prime is 3107429989. The next prime is 3107430023. The reversal of 3107430016 is 6100347013.

3107430016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 506430016 + 2601000000 = 22504^2 + 51000^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31074300162 = 19312242608675520512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463746 + ... + 470398.

Almost surely, 23107430016 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 3107430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206895300).

3107430016 is an abundant number, since it is smaller than the sum of its proper divisors (3306360584).

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

3107430016 is an equidigital number, since it uses as much as digits as its factorization.

3107430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3107430016 is about 55744.3272091430. The cubic root of 3107430016 is about 1459.2637208311.

Adding to 3107430016 its reverse (6100347013), we get a palindrome (9207777029).

The spelling of 3107430016 in words is "three billion, one hundred seven million, four hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 89 128 164 178 328 356 656 712 1312 1424 2624 2848 3649 5248 5696 6653 7298 11392 13306 14596 26612 29192 53224 58384 106448 116768 212896 233536 272773 425792 467072 545546 592117 851584 1091092 1184234 2182184 2368468 4364368 4736936 8728736 9473872 17457472 18947744 24276797 34914944 37895488 48553594 75790976 97107188 194214376 388428752 776857504 1553715008 3107430016