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396073392 = 2431113193037
BaseRepresentation
bin10111100110111…
…001100110110000
31000121021121112220
4113212321212300
51302343322032
6103145121040
712546365631
oct2746714660
91017247486
10396073392
11193633890
12b0789180
1364098270
143a861888
1524b8a12c
hex179b99b0

396073392 has 160 divisors (see below), whose sum is σ = 1265752320. Its totient is φ = 104924160.

The previous prime is 396073369. The next prime is 396073393. The reversal of 396073392 is 293370693.

It is not an unprimeable number, because it can be changed into a prime (396073393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128898 + ... + 131934.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2396073392 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 396073392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632876160).

396073392 is an abundant number, since it is smaller than the sum of its proper divisors (869678928).

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

396073392 is a wasteful number, since it uses less digits than its factorization.

396073392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 42.

The square root of 396073392 is about 19901.5927000831. The cubic root of 396073392 is about 734.3874094224.

The spelling of 396073392 in words is "three hundred ninety-six million, seventy-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3037 3344 3432 3952 5016 5434 5928 6074 6864 8151 9111 10032 10868 11856 12148 16302 18222 21736 24296 32604 33407 36444 39481 43472 48592 57703 65208 66814 72888 78962 100221 115406 118443 130416 133628 145776 157924 173109 200442 230812 236886 267256 315848 346218 400884 434291 461624 473772 534512 631696 634733 692436 750139 801768 868582 923248 947544 1269466 1302873 1384872 1500278 1603536 1737164 1895088 1904199 2250417 2538932 2605746 2769744 3000556 3474328 3808398 4500834 5077864 5211492 6001112 6948656 7616796 8251529 9001668 10155728 10422984 12002224 15233592 16503058 18003336 20845968 24754587 30467184 33006116 36006672 49509174 66012232 99018348 132024464 198036696 396073392