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152063334 = 23217677417
BaseRepresentation
bin10010001000001…
…00110101100110
3101121010121200100
421010010311212
5302412011314
623031124530
73524342223
oct1104046546
9347117610
10152063334
1178921485
1242b13746
1325672107
14162a494a
15d53ac09
hex9104d66

152063334 has 48 divisors (see below), whose sum is σ = 354105648. Its totient is φ = 46987776.

The previous prime is 152063321. The next prime is 152063341. The reversal of 152063334 is 433360251.

It is a happy number.

152063334 is a `hidden beast` number, since 1 + 5 + 20 + 633 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152063298 and 152063307.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16794 + ... + 24210.

It is an arithmetic number, because the mean of its divisors is an integer number (7377201).

Almost surely, 2152063334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152063334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177052824).

152063334 is an abundant number, since it is smaller than the sum of its proper divisors (202042314).

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

152063334 is a wasteful number, since it uses less digits than its factorization.

152063334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 152063334 is about 12331.3962713068. The cubic root of 152063334 is about 533.7544425000.

The spelling of 152063334 in words is "one hundred fifty-two million, sixty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 3417 6834 7417 10251 14834 20502 22251 44502 66753 126089 133506 252178 378267 496939 756534 993878 1134801 1490817 2269602 2981634 4472451 8447963 8944902 16895926 25343889 50687778 76031667 152063334