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149306340 = 223523108193
BaseRepresentation
bin10001110011000…
…11101111100100
3101101221112210110
420321203233210
5301210300330
622452053020
73462040311
oct1071435744
9341845713
10149306340
1177309077
1242004170
1324c18261
1415b87d08
15d193db0
hex8e63be4

149306340 has 48 divisors (see below), whose sum is σ = 436238208. Its totient is φ = 38083584.

The previous prime is 149306329. The next prime is 149306341. The reversal of 149306340 is 43603941.

It is a super-5 number, since 5×1493063405 (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 149306298 and 149306307.

It is not an unprimeable number, because it can be changed into a prime (149306341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52717 + ... + 55476.

It is an arithmetic number, because the mean of its divisors is an integer number (9088296).

Almost surely, 2149306340 is an apocalyptic number.

149306340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149306340 is an abundant number, since it is smaller than the sum of its proper divisors (286931868).

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

149306340 is a wasteful number, since it uses less digits than its factorization.

149306340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108228 (or 108226 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 149306340 is about 12219.0973480041. The cubic root of 149306340 is about 530.5089924547.

The spelling of 149306340 in words is "one hundred forty-nine million, three hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 108193 216386 324579 432772 540965 649158 1081930 1298316 1622895 2163860 2488439 3245790 4976878 6491580 7465317 9953756 12442195 14930634 24884390 29861268 37326585 49768780 74653170 149306340