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3491923344 = 2437131734621
BaseRepresentation
bin1101000000100010…
…1000010110010000
3100000100200002022020
43100020220112100
524122413021334
61334300011440
7152350600350
oct32010502620
910010602266
103491923344
111532110768
12815530b80
1343859c340
14251a98b60
15156863e49
hexd0228590

3491923344 has 160 divisors (see below), whose sum is σ = 11169118464. Its totient is φ = 915425280.

The previous prime is 3491923343. The next prime is 3491923397. The reversal of 3491923344 is 4433291943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3491923296 and 3491923305.

It is not an unprimeable number, because it can be changed into a prime (3491923343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753354 + ... + 757974.

Almost surely, 23491923344 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 3491923344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584559232).

3491923344 is an abundant number, since it is smaller than the sum of its proper divisors (7677195120).

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

3491923344 is a wasteful number, since it uses less digits than its factorization.

3491923344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4819 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 3491923344 is about 59092.4982040868. The cubic root of 3491923344 is about 1517.1257062285.

The spelling of 3491923344 in words is "three billion, four hundred ninety-one million, nine hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 173 182 208 273 312 336 346 364 519 546 624 692 728 1038 1092 1211 1384 1456 2076 2184 2249 2422 2768 3633 4152 4368 4498 4621 4844 6747 7266 8304 8996 9242 9688 13494 13863 14532 15743 17992 18484 19376 26988 27726 29064 31486 32347 35984 36968 47229 53976 55452 58128 60073 62972 64694 73936 94458 97041 107952 110904 120146 125944 129388 180219 188916 194082 221808 240292 251888 258776 360438 377832 388164 420511 480584 517552 720876 755664 776328 799433 841022 961168 1261533 1441752 1552656 1598866 1682044 2398299 2523066 2883504 3197732 3364088 4796598 5046132 5596031 6395464 6728176 9593196 10092264 10392629 11192062 12790928 16788093 19186392 20184528 20785258 22384124 31177887 33576186 38372784 41570516 44768248 62355774 67152372 72748403 83141032 89536496 124711548 134304744 145496806 166282064 218245209 249423096 268609488 290993612 436490418 498846192 581987224 872980836 1163974448 1745961672 3491923344