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3745230264 = 23331071311237
BaseRepresentation
bin1101111100111011…
…1010110110111000
3100200000022102002000
43133032322312320
530132234332024
61415345141000
7161544634446
oct33716726670
910600272060
103745230264
1116520a2a26
1288632a760
13478bcbca9
14277595b96
1516dbeccc9
hexdf3badb8

3745230264 has 128 divisors (see below), whose sum is σ = 10589356800. Its totient is φ = 1226309760.

The previous prime is 3745230257. The next prime is 3745230283. The reversal of 3745230264 is 4620325473.

3745230264 is a `hidden beast` number, since 3 + 74 + 523 + 0 + 2 + 64 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3027054 + ... + 3028290.

It is an arithmetic number, because the mean of its divisors is an integer number (82729350).

Almost surely, 23745230264 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 3745230264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294678400).

3745230264 is an abundant number, since it is smaller than the sum of its proper divisors (6844126536).

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

3745230264 is a wasteful number, since it uses less digits than its factorization.

3745230264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3745230264 is about 61198.2864465991. The cubic root of 3745230264 is about 1552.9572766744.

The spelling of 3745230264 in words is "three billion, seven hundred forty-five million, two hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 131 214 216 262 321 393 428 524 642 786 856 963 1048 1179 1237 1284 1572 1926 2358 2474 2568 2889 3144 3537 3711 3852 4716 4948 5778 7074 7422 7704 9432 9896 11133 11556 14017 14148 14844 22266 23112 28034 28296 29688 33399 42051 44532 56068 66798 84102 89064 112136 126153 132359 133596 162047 168204 252306 264718 267192 324094 336408 378459 397077 486141 504612 529436 648188 756918 794154 972282 1009224 1058872 1191231 1296376 1458423 1513836 1588308 1944564 2382462 2916846 3027672 3176616 3573693 3889128 4375269 4764924 5833692 7147386 8750538 9529848 11667384 14294772 17339029 17501076 28589544 34678058 35002152 52017087 69356116 104034174 138712232 156051261 208068348 312102522 416136696 468153783 624205044 936307566 1248410088 1872615132 3745230264