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378111216 = 24373121171
BaseRepresentation
bin10110100010011…
…000010011110000
3222100111001002010
4112202120103300
51233244024331
6101304122520
712240615030
oct2642302360
9870431063
10378111216
1118448560a
12a6766440
1360449562
14383078c0
15232dce46
hex168984f0

378111216 has 120 divisors (see below), whose sum is σ = 1154485632. Its totient is φ = 104457600.

The previous prime is 378111211. The next prime is 378111233. The reversal of 378111216 is 612111873.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378111211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322311 + ... + 323481.

Almost surely, 2378111216 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 378111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577242816).

378111216 is an abundant number, since it is smaller than the sum of its proper divisors (776374416).

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

378111216 is a wasteful number, since it uses less digits than its factorization.

378111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1214 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 378111216 is about 19445.0820517683. The cubic root of 378111216 is about 723.1135840404.

The spelling of 378111216 in words is "three hundred seventy-eight million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 961 1171 1302 1488 1736 1922 2342 2604 2883 3472 3513 3844 4684 5208 5766 6727 7026 7688 8197 9368 10416 11532 13454 14052 15376 16394 18736 20181 23064 24591 26908 28104 32788 36301 40362 46128 49182 53816 56208 65576 72602 80724 98364 107632 108903 131152 145204 161448 196728 217806 254107 290408 322896 393456 435612 508214 580816 762321 871224 1016428 1125331 1524642 1742448 2032856 2250662 3049284 3375993 4065712 4501324 6098568 6751986 7877317 9002648 12197136 13503972 15754634 18005296 23631951 27007944 31509268 47263902 54015888 63018536 94527804 126037072 189055608 378111216