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146330370 = 232523223317
BaseRepresentation
bin10001011100011…
…01001100000010
3101012100100112100
420232031030002
5244430032440
622304211230
73424534104
oct1056151402
9335310470
10146330370
117566619a
1241009b16
1324415824
1415611574
15cca7230
hex8b8d302

146330370 has 96 divisors (see below), whose sum is σ = 400038912. Its totient is φ = 37040256.

The previous prime is 146330369. The next prime is 146330377. The reversal of 146330370 is 73033641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146330377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461452 + ... + 461768.

It is an arithmetic number, because the mean of its divisors is an integer number (4167072).

Almost surely, 2146330370 is an apocalyptic number.

146330370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146330370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019456).

146330370 is an abundant number, since it is smaller than the sum of its proper divisors (253708542).

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

146330370 is a wasteful number, since it uses less digits than its factorization.

146330370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 146330370 is about 12096.7090565988. The cubic root of 146330370 is about 526.9606145410.

The spelling of 146330370 in words is "one hundred forty-six million, three hundred thirty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 223 230 317 345 414 446 634 669 690 951 1035 1115 1338 1585 1902 2007 2070 2230 2853 3170 3345 4014 4755 5129 5706 6690 7291 9510 10035 10258 14265 14582 15387 20070 21873 25645 28530 30774 36455 43746 46161 51290 65619 70691 72910 76935 92322 109365 131238 141382 153870 212073 218730 230805 328095 353455 424146 461610 636219 656190 706910 1060365 1272438 1625893 2120730 3181095 3251786 4877679 6362190 8129465 9755358 14633037 16258930 24388395 29266074 48776790 73165185 146330370