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149302440 = 23345729227
BaseRepresentation
bin10001110011000…
…10110010101000
3101101221100110000
420321202302220
5301210134230
622452023000
73462023040
oct1071426250
9341840400
10149302440
1177306151
1242001a60
1324c16551
1415b86720
15d192b60
hex8e62ca8

149302440 has 320 divisors, whose sum is σ = 595900800. Its totient is φ = 32804352.

The previous prime is 149302397. The next prime is 149302457. The reversal of 149302440 is 44203941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657607 + ... + 657833.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2149302440 is an apocalyptic number.

149302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297950400).

149302440 is an abundant number, since it is smaller than the sum of its proper divisors (446598360).

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

149302440 is a wasteful number, since it uses less digits than its factorization.

149302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 149302440 is about 12218.9377607057. The cubic root of 149302440 is about 530.5043733093.

The spelling of 149302440 in words is "one hundred forty-nine million, three hundred two thousand, four hundred forty".