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378504252 = 22347179817
BaseRepresentation
bin10110100011111…
…000010000111100
3222101020000020000
4112203320100330
51233344114002
6101320354300
712244142640
oct2643702074
9871200200
10378504252
11184723935
12a6915990
1360556419
14383aac20
152336961c
hex168f843c

378504252 has 120 divisors (see below), whose sum is σ = 1197481824. Its totient is φ = 101772288.

The previous prime is 378504229. The next prime is 378504281. The reversal of 378504252 is 252405873.

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 39 ways as a sum of consecutive naturals, for example, 33648 + ... + 43464.

Almost surely, 2378504252 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 378504252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598740912).

378504252 is an abundant number, since it is smaller than the sum of its proper divisors (818977572).

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

378504252 is a wasteful number, since it uses less digits than its factorization.

378504252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 378504252 is about 19455.1857354280. The cubic root of 378504252 is about 723.3640493704.

The spelling of 378504252 in words is "three hundred seventy-eight million, five hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 9817 12852 19278 19634 29451 38556 39268 58902 68719 88353 117804 137438 166889 176706 206157 265059 274876 333778 353412 412314 500667 530118 618471 667556 795177 824628 1001334 1060236 1168223 1236942 1502001 1590354 1855413 2002668 2336446 2473884 3004002 3180708 3504669 3710826 4506003 4672892 5566239 6008004 7009338 7421652 9012006 10514007 11132478 13518009 14018676 18024012 21028014 22264956 27036018 31542021 42056028 54072036 63084042 94626063 126168084 189252126 378504252