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874390464 = 2634315441
BaseRepresentation
bin110100000111100…
…010001111000000
32020221022122020000
4310013202033000
53242320443324
6222433120000
730445124223
oct6407421700
92227278200
10874390464
11409630552
122049b9000
1310c1cac0c
14841b15ba
1551b6d9c9
hex341e23c0

874390464 has 140 divisors (see below), whose sum is σ = 2676070848. Its totient is φ = 282009600.

The previous prime is 874390441. The next prime is 874390523. The reversal of 874390464 is 464093478.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157984 + ... + 163424.

Almost surely, 2874390464 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 874390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338035424).

874390464 is an abundant number, since it is smaller than the sum of its proper divisors (1801680384).

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

874390464 is a wasteful number, since it uses less digits than its factorization.

874390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 874390464 is about 29570.0940816900. The cubic root of 874390464 is about 956.2434444764.

The spelling of 874390464 in words is "eight hundred seventy-four million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5441 5952 6696 8928 10044 10882 13392 16323 17856 20088 21764 26784 32646 40176 43528 48969 53568 65292 80352 87056 97938 130584 146907 160704 168671 174112 195876 261168 293814 337342 348224 391752 440721 506013 522336 587628 674684 783504 881442 1012026 1044672 1175256 1349368 1518039 1567008 1762884 2024052 2350512 2698736 3036078 3134016 3525768 4048104 4554117 4701024 5397472 6072156 7051536 8096208 9108234 9402048 10794944 12144312 13662351 14103072 16192416 18216468 24288624 27324702 28206144 32384832 36432936 48577248 54649404 72865872 97154496 109298808 145731744 218597616 291463488 437195232 874390464