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63304164 = 223271141557
BaseRepresentation
bin1111000101111…
…1000111100100
311102010011222200
43301133013210
5112201213124
610140454500
71366035150
oct361370744
9142104880
1063304164
11328083a0
121924a430
1310165bb1
14859c060
155856bc9
hex3c5f1e4

63304164 has 144 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 16012800.

The previous prime is 63304133. The next prime is 63304223. The reversal of 63304164 is 46140336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113374 + ... + 113930.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 263304164 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 63304164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

63304164 is an abundant number, since it is smaller than the sum of its proper divisors (141432732).

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

63304164 is a wasteful number, since it uses less digits than its factorization.

63304164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63304164 is about 7956.3913930877. The cubic root of 63304164 is about 398.5450559275.

The spelling of 63304164 in words is "sixty-three million, three hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 557 574 693 738 861 902 924 1114 1148 1353 1386 1476 1671 1722 1804 2228 2583 2706 2772 3157 3342 3444 3899 4059 5013 5166 5412 6127 6314 6684 7798 8118 9471 10026 10332 11697 12254 12628 15596 16236 18381 18942 20052 22837 23394 24508 28413 35091 36762 37884 42889 45674 46788 55143 56826 68511 70182 73524 85778 91348 110286 113652 128667 137022 140364 159859 171556 205533 220572 251207 257334 274044 319718 386001 411066 479577 502414 514668 639436 753621 772002 822132 959154 1004828 1438731 1507242 1544004 1758449 1918308 2260863 2877462 3014484 3516898 4521726 5275347 5754924 7033796 9043452 10550694 15826041 21101388 31652082 63304164