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148341312 = 2632736791
BaseRepresentation
bin10001101011110…
…00001001000000
3101100010112000200
420311320021000
5300433410222
622415245200
73450610650
oct1065701100
9340115020
10148341312
117680a029
1241819800
132496ac32
14159b6360
15d052eac
hex8d78240

148341312 has 84 divisors (see below), whose sum is σ = 485948736. Its totient is φ = 42382080.

The previous prime is 148341307. The next prime is 148341317. The reversal of 148341312 is 213143841.

148341312 is a `hidden beast` number, since 1 + 4 + 8 + 341 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (148341307) and next prime (148341317).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (148341317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14364 + ... + 22427.

It is an arithmetic number, because the mean of its divisors is an integer number (5785104).

Almost surely, 2148341312 is an apocalyptic number.

148341312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148341312 is an abundant number, since it is smaller than the sum of its proper divisors (337607424).

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

148341312 is a wasteful number, since it uses less digits than its factorization.

148341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36816 (or 36803 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 148341312 is about 12179.5448190809. The cubic root of 148341312 is about 529.3635554881.

The spelling of 148341312 in words is "one hundred forty-eight million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 36791 73582 110373 147164 220746 257537 294328 331119 441492 515074 588656 662238 772611 882984 1030148 1177312 1324476 1545222 1765968 2060296 2317833 2354624 2648952 3090444 3531936 4120592 4635666 5297904 6180888 7063872 8241184 9271332 10595808 12361776 16482368 18542664 21191616 24723552 37085328 49447104 74170656 148341312