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378739680 = 25351126521
BaseRepresentation
bin10110100100110…
…001101111100000
3222101122222011120
4112210301233200
51233424132210
6101325412240
712246143214
oct2644615740
9871588146
10378739680
11184874800
12a6a0a080
1360609627
143842c944
15233b4270
hex16931be0

378739680 has 144 divisors (see below), whose sum is σ = 1311548112. Its totient is φ = 91801600.

The previous prime is 378739663. The next prime is 378739693. The reversal of 378739680 is 86937873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54820 + ... + 61340.

It is an arithmetic number, because the mean of its divisors is an integer number (9107973).

Almost surely, 2378739680 is an apocalyptic number.

378739680 is a gapful number since it is divisible by the number (30) 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 378739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655774056).

378739680 is an abundant number, since it is smaller than the sum of its proper divisors (932808432).

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

378739680 is a wasteful number, since it uses less digits than its factorization.

378739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 378739680 is about 19461.2353153647. The cubic root of 378739680 is about 723.5139947180.

The spelling of 378739680 in words is "three hundred seventy-eight million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 6521 7260 9680 11616 13042 14520 19360 19563 26084 29040 32605 39126 52168 58080 65210 71731 78252 97815 104336 130420 143462 156504 195630 208672 215193 260840 286924 313008 358655 391260 430386 521680 573848 626016 717310 782520 789041 860772 1043360 1075965 1147696 1434620 1565040 1578082 1721544 2151930 2295392 2367123 2869240 3130080 3156164 3443088 3945205 4303860 4734246 5738480 6312328 6886176 7890410 8607720 9468492 11476960 11835615 12624656 15780820 17215440 18936984 23671230 25249312 31561640 34430880 37873968 47342460 63123280 75747936 94684920 126246560 189369840 378739680