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3071940096 = 29337191283
BaseRepresentation
bin1011011100011010…
…0001011000000000
321221002101201121010
42313012201120000
522242404040341
61224454200520
7136061026401
oct26706413000
97832351533
103071940096
111337037075
12718953140
1339c582144
14211db19a8
1512ea54716
hexb71a1600

3071940096 has 160 divisors (see below), whose sum is σ = 8478885888. Its totient is φ = 987586560.

The previous prime is 3071940089. The next prime is 3071940097. The reversal of 3071940096 is 6900491703.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3071940097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10854771 + ... + 10855053.

Almost surely, 23071940096 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 3071940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239442944).

3071940096 is an abundant number, since it is smaller than the sum of its proper divisors (5406945792).

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

3071940096 is a wasteful number, since it uses less digits than its factorization.

3071940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3071940096 is about 55425.0854397176. The cubic root of 3071940096 is about 1453.6870251772.

The spelling of 3071940096 in words is "three billion, seventy-one million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 191 192 222 256 283 296 382 384 444 512 566 573 592 764 768 849 888 1132 1146 1184 1528 1536 1698 1776 2264 2292 2368 3056 3396 3552 4528 4584 4736 6112 6792 7067 7104 9056 9168 9472 10471 12224 13584 14134 14208 18112 18336 18944 20942 21201 24448 27168 28268 28416 31413 36224 36672 41884 42402 48896 54053 54336 56536 56832 62826 72448 73344 83768 84804 97792 108106 108672 113072 125652 144896 146688 162159 167536 169608 216212 217344 226144 251304 293376 324318 335072 339216 432424 434688 452288 502608 648636 670144 678432 864848 904576 1005216 1297272 1340288 1356864 1729696 1809152 1999961 2010432 2594544 2680576 2713728 3459392 3618304 3999922 4020864 5189088 5361152 5427456 5999883 6918784 7999844 8041728 10378176 10854912 11999766 13837568 15999688 16083456 20756352 23999532 27675136 31999376 41512704 47999064 63998752 83025408 95998128 127997504 191996256 255995008 383992512 511990016 767985024 1023980032 1535970048 3071940096