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734034040704 = 2733409519301
BaseRepresentation
bin10101010111001111101…
…01101001011110000000
32121011200002112210122000
422223213311221132000
544011300203300304
61321113252544000
7104014022253666
oct12534765513600
92534602483560
10734034040704
11263336097168
12ba316622000
13542b0511973
1427755404c36
1514161e2c939
hexaae7d69780

734034040704 has 128 divisors (see below), whose sum is σ = 2171720964000. Its totient is φ = 244079308800.

The previous prime is 734034040679. The next prime is 734034040723. The reversal of 734034040704 is 407040430437.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153854 + ... + 1673154.

Almost surely, 2734034040704 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 734034040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085860482000).

734034040704 is an abundant number, since it is smaller than the sum of its proper divisors (1437686923296).

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

734034040704 is a wasteful number, since it uses less digits than its factorization.

734034040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519733 (or 519715 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 734034040704 in words is "seven hundred thirty-four billion, thirty-four million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 409 432 576 818 864 1152 1227 1636 1728 2454 3272 3456 3681 4908 6544 7362 9816 11043 13088 14724 19632 22086 26176 29448 39264 44172 52352 58896 78528 88344 117792 157056 176688 235584 353376 471168 519301 706752 1038602 1413504 1557903 2077204 3115806 4154408 4673709 6231612 8308816 9347418 12463224 14021127 16617632 18694836 24926448 28042254 33235264 37389672 49852896 56084508 66470528 74779344 99705792 112169016 149558688 199411584 212394109 224338032 299117376 424788218 448676064 598234752 637182327 849576436 897352128 1274364654 1699152872 1794704256 1911546981 2548729308 3398305744 3823093962 5097458616 5734640943 6796611488 7646187924 10194917232 11469281886 13593222976 15292375848 20389834464 22938563772 27186445952 30584751696 40779668928 45877127544 61169503392 81559337856 91754255088 122339006784 183508510176 244678013568 367017020352 734034040704