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934747164 = 22321361137239
BaseRepresentation
bin110111101101110…
…001110000011100
32102010220002001100
4313231301300130
53403243402124
6232430513100
732110135251
oct6755616034
92363802040
10934747164
1143a70541a
12221065790
1311b871340
148c203428
15570e21c9
hex37b71c1c

934747164 has 144 divisors (see below), whose sum is σ = 2616082560. Its totient is φ = 279659520.

The previous prime is 934747141. The next prime is 934747181. The reversal of 934747164 is 461747439.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3910957 + ... + 3911195.

It is an arithmetic number, because the mean of its divisors is an integer number (18167240).

Almost surely, 2934747164 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 934747164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308041280).

934747164 is an abundant number, since it is smaller than the sum of its proper divisors (1681335396).

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

934747164 is a wasteful number, since it uses less digits than its factorization.

934747164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 934747164 is about 30573.6351126260. The cubic root of 934747164 is about 977.7580165868.

The spelling of 934747164 in words is "nine hundred thirty-four million, seven hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 137 156 183 234 239 244 274 366 411 468 478 548 549 717 732 793 822 956 1098 1233 1434 1586 1644 1781 2151 2196 2379 2466 2868 3107 3172 3562 4302 4758 4932 5343 6214 7124 7137 8357 8604 9321 9516 10686 12428 14274 14579 16029 16714 18642 21372 25071 27963 28548 29158 32058 32743 33428 37284 43737 50142 55926 58316 64116 65486 75213 87474 98229 100284 108641 111852 130972 131211 150426 174948 189527 196458 217282 262422 294687 300852 325923 379054 392916 425659 434564 524844 568581 589374 651846 758108 851318 977769 1137162 1178748 1276977 1303692 1702636 1705743 1955538 1997323 2274324 2553954 3411486 3830931 3911076 3994646 5107908 5991969 6822972 7661862 7989292 11983938 15323724 17975907 23967876 25965199 35951814 51930398 71903628 77895597 103860796 155791194 233686791 311582388 467373582 934747164