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3074117832 = 233413993391
BaseRepresentation
bin1011011100111011…
…0101000011001000
321221020111100220000
42313032311003020
522243433232312
61225013003000
7136115366442
oct26716650310
97836440800
103074117832
111338294255
12719623460
1339cb65446
142123bb492
1512ed34adc
hexb73b50c8

3074117832 has 80 divisors (see below), whose sum is σ = 8619072000. Its totient is φ = 1023671520.

The previous prime is 3074117807. The next prime is 3074117833. The reversal of 3074117832 is 2387114703.

3074117832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3074117833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 904857 + ... + 908247.

It is an arithmetic number, because the mean of its divisors is an integer number (107738400).

Almost surely, 23074117832 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 3074117832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309536000).

3074117832 is an abundant number, since it is smaller than the sum of its proper divisors (5544954168).

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

3074117832 is a wasteful number, since it uses less digits than its factorization.

3074117832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3074117832 is about 55444.7277204966. The cubic root of 3074117832 is about 1454.0304562212.

The spelling of 3074117832 in words is "three billion, seventy-four million, one hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1399 2798 3391 4197 5596 6782 8394 10173 11192 12591 13564 16788 20346 25182 27128 30519 33576 37773 40692 50364 61038 75546 81384 91557 100728 113319 122076 151092 183114 226638 244152 274671 302184 366228 453276 549342 732456 906552 1098684 2197368 4744009 9488018 14232027 18976036 28464054 37952072 42696081 56928108 85392162 113856216 128088243 170784324 256176486 341568648 384264729 512352972 768529458 1024705944 1537058916 3074117832