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3450081864 = 2331719599743
BaseRepresentation
bin1100110110100100…
…0001001001001000
322220102221022120210
43031221001021020
524031210104424
61330203121120
7151332132465
oct31551011110
98812838523
103450081864
111510532629
128035131a0
1342ca0c578
1424a2c666c
15152d4b729
hexcda41248

3450081864 has 128 divisors (see below), whose sum is σ = 9642240000. Its totient is φ = 1022321664.

The previous prime is 3450081839. The next prime is 3450081907. The reversal of 3450081864 is 4681800543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4643077 + ... + 4643819.

It is an arithmetic number, because the mean of its divisors is an integer number (75330000).

Almost surely, 23450081864 is an apocalyptic number.

3450081864 is a gapful number since it is divisible by the number (34) 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 3450081864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120000).

3450081864 is an abundant number, since it is smaller than the sum of its proper divisors (6192158136).

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

3450081864 is a wasteful number, since it uses less digits than its factorization.

3450081864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3450081864 is about 58737.3974908661. The cubic root of 3450081864 is about 1511.0417593716.

The spelling of 3450081864 in words is "three billion, four hundred fifty million, eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 599 646 743 969 1198 1292 1486 1797 1938 2229 2396 2584 2972 3594 3876 4458 4792 5944 7188 7752 8916 10183 11381 12631 14117 14376 17832 20366 22762 25262 28234 30549 34143 37893 40732 42351 45524 50524 56468 61098 68286 75786 81464 84702 91048 101048 112936 122196 136572 151572 169404 193477 239989 244392 273144 303144 338808 386954 445057 479978 580431 719967 773908 890114 959956 1160862 1335171 1439934 1547816 1780228 1919912 2321724 2670342 2879868 3560456 4643448 5340684 5759736 7565969 8456083 10681368 15131938 16912166 22697907 25368249 30263876 33824332 45395814 50736498 60527752 67648664 90791628 101472996 143753411 181583256 202945992 287506822 431260233 575013644 862520466 1150027288 1725040932 3450081864