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378146916 = 2232724632
BaseRepresentation
bin10110100010100…
…001000001100100
3222100112212001100
4112202201001210
51233301200131
6101305000100
712241124100
oct2642410144
9870485040
10378146916
111844aa414
12a6783030
136045c894
1438316900
15232e87e6
hex168a1064

378146916 has 81 divisors (see below), whose sum is σ = 1114338771. Its totient is φ = 107808624.

The previous prime is 378146893. The next prime is 378146917. The reversal of 378146916 is 619641873.

It is a happy number.

The square root of 378146916 is 19446.

It is a perfect power (a square), and thus also a powerful number.

378146916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3781469162 = 285990180160622112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378146917) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 816501 + ... + 816963.

Almost surely, 2378146916 is an apocalyptic number.

378146916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

378146916 is the 19446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378146916

378146916 is an abundant number, since it is smaller than the sum of its proper divisors (736191855).

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

378146916 is a wasteful number, since it uses less digits than its factorization.

378146916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 378146916 is about 723.1363413152.

The spelling of 378146916 in words is "three hundred seventy-eight million, one hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 463 588 882 926 1389 1764 1852 2778 3241 4167 5556 6482 8334 9723 12964 16668 19446 22687 29169 38892 45374 58338 68061 90748 116676 136122 204183 214369 272244 408366 428738 643107 816732 857476 1286214 1500583 1929321 2572428 3001166 3858642 4501749 6002332 7717284 9003498 10504081 13505247 18006996 21008162 27010494 31512243 42016324 54020988 63024486 94536729 126048972 189073458 378146916