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378134280 = 233253121093
BaseRepresentation
bin10110100010011…
…101111100001000
3222100112012201100
4112202131330020
51233300244110
6101304421400
712241042206
oct2642357410
9870465640
10378134280
111844a0977
12a6777860
1360456bc4
1438312076
15232e4bc0
hex1689df08

378134280 has 144 divisors (see below), whose sum is σ = 1271020140. Its totient is φ = 97493760.

The previous prime is 378134243. The next prime is 378134287. The reversal of 378134280 is 82431873.

378134280 is a `hidden beast` number, since 378 + 1 + 3 + 4 + 280 = 666.

378134280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352913796 + 25220484 = 18786^2 + 5022^2 .

It is a super-2 number, since 2×3781342802 = 285971067422236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378134287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345414 + ... + 346506.

Almost surely, 2378134280 is an apocalyptic number.

378134280 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 378134280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635510070).

378134280 is an abundant number, since it is smaller than the sum of its proper divisors (892885860).

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

378134280 is a wasteful number, since it uses less digits than its factorization.

378134280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378134280 is about 19445.6750975635. The cubic root of 378134280 is about 723.1282865511.

The spelling of 378134280 in words is "three hundred seventy-eight million, one hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 961 1093 1116 1240 1395 1860 1922 2186 2232 2790 2883 3279 3720 3844 4372 4805 5465 5580 5766 6558 7688 8649 8744 9610 9837 10930 11160 11532 13116 14415 16395 17298 19220 19674 21860 23064 26232 28830 32790 33883 34596 38440 39348 43245 43720 49185 57660 65580 67766 69192 78696 86490 98370 101649 115320 131160 135532 169415 172980 196740 203298 271064 304947 338830 345960 393480 406596 508245 609894 677660 813192 1016490 1050373 1219788 1355320 1524735 2032980 2100746 2439576 3049470 3151119 4065960 4201492 5251865 6098940 6302238 8402984 9453357 10503730 12197880 12604476 15755595 18906714 21007460 25208952 31511190 37813428 42014920 47266785 63022380 75626856 94533570 126044760 189067140 378134280