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152434340 = 2251923107163
BaseRepresentation
bin10010001010111…
…11011010100100
3101121211110121022
421011133122210
5303010344330
623043110312
73530445662
oct1105373244
9347743538
10152434340
11790551a3
1243072398
1325771c46
141635dc32
15d5b0ae5
hex915f6a4

152434340 has 96 divisors (see below), whose sum is σ = 357073920. Its totient is φ = 54400896.

The previous prime is 152434327. The next prime is 152434357. The reversal of 152434340 is 43434251.

152434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1524343402 = 46472456022471200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935099 + ... + 935261.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2152434340 is an apocalyptic number.

152434340 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 152434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960).

152434340 is an abundant number, since it is smaller than the sum of its proper divisors (204639580).

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

152434340 is a wasteful number, since it uses less digits than its factorization.

152434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 152434340 is about 12346.4302533161. The cubic root of 152434340 is about 534.1881768408.

Adding to 152434340 its reverse (43434251), we get a palindrome (195868591).

The spelling of 152434340 in words is "one hundred fifty-two million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 107 115 163 190 214 230 326 380 428 437 460 535 652 815 874 1070 1630 1748 2033 2140 2185 2461 3097 3260 3749 4066 4370 4922 6194 7498 8132 8740 9844 10165 12305 12388 14996 15485 17441 18745 20330 24610 30970 34882 37490 40660 46759 49220 61940 69764 71231 74980 87205 93518 142462 174410 187036 233795 284924 331379 348820 356155 401143 467590 662758 712310 802286 935180 1325516 1424620 1604572 1656895 2005715 3313790 4011430 6627580 7621717 8022860 15243434 30486868 38108585 76217170 152434340