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3077708768 = 251931283577
BaseRepresentation
bin1011011101110010…
…0001101111100000
321221111020210201122
42313130201233200
522300343140033
61225221551412
7136161043601
oct26734415740
97844223648
103077708768
11133a317172
1271a875568
133a0821a64
14212a73da8
151302e3a98
hexb7721be0

3077708768 has 96 divisors (see below), whose sum is σ = 6618608640. Its totient is φ = 1403412480.

The previous prime is 3077708741. The next prime is 3077708771. The reversal of 3077708768 is 8678077703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5333696 + ... + 5334272.

It is an arithmetic number, because the mean of its divisors is an integer number (68943840).

Almost surely, 23077708768 is an apocalyptic number.

3077708768 is a gapful number since it is divisible by the number (38) 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 3077708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309304320).

3077708768 is an abundant number, since it is smaller than the sum of its proper divisors (3540899872).

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

3077708768 is a wasteful number, since it uses less digits than its factorization.

3077708768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 53.

The square root of 3077708768 is about 55477.1012941376. The cubic root of 3077708768 is about 1454.5963962045.

The spelling of 3077708768 in words is "three billion, seventy-seven million, seven hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 283 304 496 566 577 589 608 992 1132 1154 1178 2264 2308 2356 4528 4616 4712 5377 8773 9056 9232 9424 10754 10963 17546 17887 18464 18848 21508 21926 35092 35774 43016 43852 70184 71548 86032 87704 140368 143096 163291 166687 172064 175408 280736 286192 326582 333374 339853 350816 572384 653164 666748 679706 1306328 1333496 1359412 2612656 2666992 2718824 3102529 5062021 5225312 5333984 5437648 6205058 10124042 10875296 12410116 20248084 24820232 40496168 49640464 80992336 96178399 99280928 161984672 192356798 384713596 769427192 1538854384 3077708768