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3074602752 = 28331334217
BaseRepresentation
bin1011011101000010…
…1011011100000000
321221021102000002000
42313100223130000
522244044242002
61225031224000
7136122456264
oct26720533400
97837360060
103074602752
111338595611
12719818000
1339cca5090
142124a60a4
1512edcd61c
hexb742b700

3074602752 has 144 divisors (see below), whose sum is σ = 9791822880. Its totient is φ = 946003968.

The previous prime is 3074602733. The next prime is 3074602771. The reversal of 3074602752 is 2572064703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3074602733) and next prime (3074602771).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72748 + ... + 106964.

It is an arithmetic number, because the mean of its divisors is an integer number (67998770).

Almost surely, 23074602752 is an apocalyptic number.

3074602752 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 3074602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895911440).

3074602752 is an abundant number, since it is smaller than the sum of its proper divisors (6717220128).

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

3074602752 is a wasteful number, since it uses less digits than its factorization.

3074602752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34255 (or 34235 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3074602752 is about 55449.1005517673. The cubic root of 3074602752 is about 1454.1069064872.

The spelling of 3074602752 in words is "three billion, seventy-four million, six hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 34217 44928 68434 89856 102651 136868 205302 273736 307953 410604 444821 547472 615906 821208 889642 923859 1094944 1231812 1334463 1642416 1779284 1847718 2189888 2463624 2668926 3284832 3558568 3695436 4003389 4379776 4927248 5337852 6569664 7117136 7390872 8006778 8759552 9854496 10675704 12010167 13139328 14234272 14781744 16013556 19708992 21351408 24020334 26278656 28468544 29563488 32027112 39417984 42702816 48040668 56937088 59126976 64054224 78835968 85405632 96081336 113874176 118253952 128108448 170811264 192162672 236507904 256216896 341622528 384325344 512433792 768650688 1024867584 1537301376 3074602752