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152346894 = 23717239277
BaseRepresentation
bin10010001010010…
…10000100001110
3101121200000122120
421011022010032
5303000100034
623041153410
73526633020
oct1105120416
9347600576
10152346894
1178aa5527
124302b866
13257411bb
141633a010
15d594c49
hex914a10e

152346894 has 64 divisors (see below), whose sum is σ = 384777216. Its totient is φ = 39181824.

The previous prime is 152346869. The next prime is 152346899. The reversal of 152346894 is 498643251.

It is a super-2 number, since 2×1523468942 = 46419152222894472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152346899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11784 + ... + 21060.

It is an arithmetic number, because the mean of its divisors is an integer number (6012144).

Almost surely, 2152346894 is an apocalyptic number.

152346894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152346894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192388608).

152346894 is an abundant number, since it is smaller than the sum of its proper divisors (232430322).

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

152346894 is a wasteful number, since it uses less digits than its factorization.

152346894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9329.

The product of its digits is 207360, while the sum is 42.

The square root of 152346894 is about 12342.8883977779. Note that the first 3 decimals coincide. The cubic root of 152346894 is about 534.0860092352.

The spelling of 152346894 in words is "one hundred fifty-two million, three hundred forty-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 2346 2737 5474 8211 9277 16422 18554 27831 55662 64939 129878 157709 194817 213371 315418 389634 426742 473127 640113 946254 1103963 1280226 1493597 2207926 2987194 3311889 3627307 4480791 6623778 7254614 8961582 10881921 21763842 25391149 50782298 76173447 152346894