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136340352 = 2732196229
BaseRepresentation
bin10000010000001…
…10001110000000
3100111112210210200
420020012032000
5234400342402
621310125200
73243605511
oct1010061600
9314483720
10136340352
116aa62585
12397b0800
1322328685
1414170a08
15be8221c
hex8206380

136340352 has 96 divisors (see below), whose sum is σ = 413049000. Its totient is φ = 43047936.

The previous prime is 136340329. The next prime is 136340381. The reversal of 136340352 is 253043631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18774 + ... + 25002.

Almost surely, 2136340352 is an apocalyptic number.

136340352 is a gapful number since it is divisible by the number (12) 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 136340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206524500).

136340352 is an abundant number, since it is smaller than the sum of its proper divisors (276708648).

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

136340352 is a wasteful number, since it uses less digits than its factorization.

136340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6253 counting only the distinct ones).

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

The square root of 136340352 is about 11676.4871429724. The cubic root of 136340352 is about 514.6849513700.

Adding to 136340352 its reverse (253043631), we get a palindrome (389383983).

The spelling of 136340352 in words is "one hundred thirty-six million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 6229 7296 10944 12458 18687 21888 24916 37374 49832 56061 74748 99664 112122 118351 149496 199328 224244 236702 298992 355053 398656 448488 473404 597984 710106 797312 896976 946808 1065159 1195968 1420212 1793952 1893616 2130318 2391936 2840424 3587904 3787232 4260636 5680848 7175808 7574464 8521272 11361696 15148928 17042544 22723392 34085088 45446784 68170176 136340352