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146418414 = 232310310301
BaseRepresentation
bin10001011101000…
…10101011101110
3101012111211022020
420232202223232
5244440342124
622310131010
73425351562
oct1056425356
9335454266
10146418414
117571635a
1241050a66
132444691c
14156356a2
15ccc3379
hex8ba2aee

146418414 has 32 divisors (see below), whose sum is σ = 308565504. Its totient is φ = 46226400.

The previous prime is 146418409. The next prime is 146418449. The reversal of 146418414 is 414814641.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9064 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (9642672).

Almost surely, 2146418414 is an apocalyptic number.

146418414 is an abundant number, since it is smaller than the sum of its proper divisors (162147090).

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

146418414 is a wasteful number, since it uses less digits than its factorization.

146418414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432.

The product of its digits is 12288, while the sum is 33.

The square root of 146418414 is about 12100.3476809553. The cubic root of 146418414 is about 527.0662805039.

The spelling of 146418414 in words is "one hundred forty-six million, four hundred eighteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 46 69 103 138 206 309 618 2369 4738 7107 10301 14214 20602 30903 61806 236923 473846 710769 1061003 1421538 2122006 3183009 6366018 24403069 48806138 73209207 146418414