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378157290 = 235710317483
BaseRepresentation
bin10110100010100…
…011100011101010
3222100120101021120
4112202203203222
51233302013130
6101305120110
712241166250
oct2642434352
9870511246
10378157290
11184507195
12a6789036
1360464514
143831a5d0
15232eb910
hex168a38ea

378157290 has 64 divisors (see below), whose sum is σ = 1047361536. Its totient is φ = 85591872.

The previous prime is 378157261. The next prime is 378157291. The reversal of 378157290 is 92751873.

378157290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (378157291) 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, 12889 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (16365024).

Almost surely, 2378157290 is an apocalyptic number.

378157290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378157290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523680768).

378157290 is an abundant number, since it is smaller than the sum of its proper divisors (669204246).

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

378157290 is a wasteful number, since it uses less digits than its factorization.

378157290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 378157290 is about 19446.2667368315. The cubic root of 378157290 is about 723.1429540429.

The spelling of 378157290 in words is "three hundred seventy-eight million, one hundred fifty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 7210 10815 17483 21630 34966 52449 87415 104898 122381 174830 244762 262245 367143 524490 611905 734286 1223810 1800749 1835715 3601498 3671430 5402247 9003745 10804494 12605243 18007490 25210486 27011235 37815729 54022470 63026215 75631458 126052430 189078645 378157290