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370114052 = 227211415379
BaseRepresentation
bin10110000011110…
…111111000000100
3221210102202000212
4112003313320010
51224222122202
6100420454552
712112626500
oct2603677004
9853382025
10370114052
1117aa13190
12a3b4a458
135b8a94c9
1437225300
152275d652
hex160f7e04

370114052 has 144 divisors (see below), whose sum is σ = 868734720. Its totient is φ = 136281600.

The previous prime is 370114039. The next prime is 370114057. The reversal of 370114052 is 250411073.

It is a super-2 number, since 2×3701140522 = 273968822975717408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (370114057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4684949 + ... + 4685027.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2370114052 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 370114052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

370114052 is an abundant number, since it is smaller than the sum of its proper divisors (498620668).

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

370114052 is a wasteful number, since it uses less digits than its factorization.

370114052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 370114052 is about 19238.3484738166. The cubic root of 370114052 is about 717.9791920890.

The spelling of 370114052 in words is "three hundred seventy million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 53 77 79 82 98 106 154 158 164 196 212 287 308 316 371 451 539 553 574 583 742 869 902 1078 1106 1148 1166 1484 1738 1804 2009 2156 2173 2212 2332 2597 3157 3239 3476 3871 4018 4081 4187 4346 5194 6083 6314 6478 7742 8036 8162 8374 8692 10388 12166 12628 12956 15211 15484 16324 16748 22099 22673 23903 24332 28567 29309 30422 35629 42581 44198 45346 46057 47806 57134 58618 60844 71258 85162 88396 90692 92114 95612 106477 114268 117236 142516 158711 167321 170324 171667 184228 205163 212954 249403 317422 322399 334642 343334 410326 425908 498806 634844 644798 669284 686668 820652 997612 1171247 1201669 1289596 1745821 1888337 2256793 2342494 2403338 3491642 3776674 4513586 4684988 4806676 6983284 7553348 8411683 9027172 13218359 16823366 26436718 33646732 52873436 92528513 185057026 370114052