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379073136 = 24313679067
BaseRepresentation
bin10110100110000…
…011001001110000
3222102021220120210
4112212003021300
51234020320021
6101340504120
712252032331
oct2646031160
9872256523
10379073136
11184a82292
12a6b4b040
13606c5340
14384b8288
152342ce76
hex16983270

379073136 has 80 divisors (see below), whose sum is σ = 1070459264. Its totient is φ = 114884352.

The previous prime is 379073129. The next prime is 379073137. The reversal of 379073136 is 631370973.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 379073094 and 379073103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379073137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37275 + ... + 46341.

Almost surely, 2379073136 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 379073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535229632).

379073136 is an abundant number, since it is smaller than the sum of its proper divisors (691386128).

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

379073136 is a wasteful number, since it uses less digits than its factorization.

379073136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 379073136 is about 19469.8006153119. The cubic root of 379073136 is about 723.7262683238.

The spelling of 379073136 in words is "three hundred seventy-nine million, seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 9067 10452 13936 18134 20904 27201 36268 41808 54402 72536 108804 117871 145072 217608 235742 353613 435216 471484 607489 707226 942968 1214978 1414452 1822467 1885936 2429956 2828904 3644934 4859912 5657808 7289868 7897357 9719824 14579736 15794714 23692071 29159472 31589428 47384142 63178856 94768284 126357712 189536568 379073136