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152374356 = 2232231631129
BaseRepresentation
bin10010001010100…
…00110001010100
3101121201102022200
421011100301110
5303001434411
623041524500
73530106051
oct1105206124
9347642280
10152374356
1179014122
1243043730
1325750854
1416346028
15d59ce56
hex9150c54

152374356 has 72 divisors (see below), whose sum is σ = 404738880. Its totient is φ = 48242304.

The previous prime is 152374351. The next prime is 152374361. The reversal of 152374356 is 653473251.

152374356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152374351) and next prime (152374361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152374356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152374351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134400 + ... + 135528.

Almost surely, 2152374356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152374356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202369440).

152374356 is an abundant number, since it is smaller than the sum of its proper divisors (252364524).

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

152374356 is a wasteful number, since it uses less digits than its factorization.

152374356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1320 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 152374356 is about 12344.0008101101. Note that the first 3 decimals coincide. The cubic root of 152374356 is about 534.1180986954.

The spelling of 152374356 in words is "one hundred fifty-two million, three hundred seventy-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 163 207 276 326 414 489 652 828 978 1129 1467 1956 2258 2934 3387 3749 4516 5868 6774 7498 10161 11247 13548 14996 20322 22494 25967 33741 40644 44988 51934 67482 77901 103868 134964 155802 184027 233703 311604 368054 467406 552081 736108 934812 1104162 1656243 2208324 3312486 4232621 6624972 8465242 12697863 16930484 25395726 38093589 50791452 76187178 152374356