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379345460 = 225133747839
BaseRepresentation
bin10110100111000…
…101101000110100
3222102210202010212
4112213011220310
51234103023320
6101350404552
712254245304
oct2647055064
9872722125
10379345460
1118514894a
12a7060758
136078c290
1438549604
15234839c5
hex169c5a34

379345460 has 96 divisors (see below), whose sum is σ = 900910080. Its totient is φ = 133221888.

The previous prime is 379345457. The next prime is 379345493. The reversal of 379345460 is 64543973.

It is a super-2 number, since 2×3793454602 = 287805956045223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451721 + ... + 452559.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 2379345460 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 379345460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

379345460 is an abundant number, since it is smaller than the sum of its proper divisors (521564620).

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

379345460 is a wasteful number, since it uses less digits than its factorization.

379345460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The square root of 379345460 is about 19476.7928571415. The cubic root of 379345460 is about 723.8995337940.

The spelling of 379345460 in words is "three hundred seventy-nine million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 47 52 65 74 94 130 148 185 188 235 260 370 470 481 611 740 839 940 962 1222 1678 1739 1924 2405 2444 3055 3356 3478 4195 4810 6110 6956 8390 8695 9620 10907 12220 16780 17390 21814 22607 31043 34780 39433 43628 45214 54535 62086 78866 90428 109070 113035 124172 155215 157732 197165 218140 226070 310430 394330 403559 452140 512629 620860 788660 807118 1025258 1459021 1614236 2017795 2050516 2563145 2918042 4035590 5126290 5836084 7295105 8071180 10252580 14590210 18967273 29180420 37934546 75869092 94836365 189672730 379345460