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379461360 = 24352368743
BaseRepresentation
bin10110100111100…
…001111011110000
3222110000122010110
4112213201323300
51234120230420
6101353101320
712255240225
oct2647417360
9873018113
10379461360
11185217a33
12a70b7840
13607ccc65
143857994c
15234a7ee0
hex169e1ef0

379461360 has 80 divisors (see below), whose sum is σ = 1227492864. Its totient is φ = 96788736.

The previous prime is 379461349. The next prime is 379461361. The reversal of 379461360 is 63164973.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379461361) 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, 28852 + ... + 39891.

Almost surely, 2379461360 is an apocalyptic number.

379461360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379461360 is an abundant number, since it is smaller than the sum of its proper divisors (848031504).

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

379461360 is a wasteful number, since it uses less digits than its factorization.

379461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68782 (or 68776 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 379461360 is about 19479.7679657639. The cubic root of 379461360 is about 723.9732497264.

The spelling of 379461360 in words is "three hundred seventy-nine million, four hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 68743 137486 206229 274972 343715 412458 549944 687430 824916 1031145 1099888 1374860 1581089 1649832 2062290 2749720 3162178 3299664 4124580 4743267 5499440 6324356 7905445 8249160 9486534 12648712 15810890 16498320 18973068 23716335 25297424 31621780 37946136 47432670 63243560 75892272 94865340 126487120 189730680 379461360