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379354536 = 233311672383
BaseRepresentation
bin10110100111000…
…111110110101000
3222102211012121000
4112213013312220
51234103321121
6101350515000
712254313621
oct2647076650
9872735530
10379354536
11185154750
12a7065a60
1360793452
143854ca48
1523486526
hex169c7da8

379354536 has 128 divisors (see below), whose sum is σ = 1167206400. Its totient is φ = 113192640.

The previous prime is 379354519. The next prime is 379354537. The reversal of 379354536 is 635453973.

379354536 is a `hidden beast` number, since 3 + 79 + 3 + 545 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 379354491 and 379354500.

It is not an unprimeable number, because it can be changed into a prime (379354537) 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, 158001 + ... + 160383.

It is an arithmetic number, because the mean of its divisors is an integer number (9118800).

Almost surely, 2379354536 is an apocalyptic number.

379354536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379354536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583603200).

379354536 is an abundant number, since it is smaller than the sum of its proper divisors (787851864).

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

379354536 is a wasteful number, since it uses less digits than its factorization.

379354536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2466 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The square root of 379354536 is about 19477.0258509866. The cubic root of 379354536 is about 723.9053069484.

The spelling of 379354536 in words is "three hundred seventy-nine million, three hundred fifty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 88 99 108 132 134 198 201 216 264 268 297 396 402 536 594 603 737 792 804 1188 1206 1474 1608 1809 2211 2376 2383 2412 2948 3618 4422 4766 4824 5896 6633 7149 7236 8844 9532 13266 14298 14472 17688 19064 19899 21447 26213 26532 28596 39798 42894 52426 53064 57192 64341 78639 79596 85788 104852 128682 157278 159192 159661 171576 209704 235917 257364 314556 319322 471834 478983 514728 629112 638644 707751 943668 957966 1277288 1415502 1436949 1756271 1887336 1915932 2831004 2873898 3512542 3831864 4310847 5268813 5662008 5747796 7025084 8621694 10537626 11495592 14050168 15806439 17243388 21075252 31612878 34486776 42150504 47419317 63225756 94838634 126451512 189677268 379354536