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149264304 = 243719103227
BaseRepresentation
bin10001110010110…
…01011110110000
3101101212102010120
420321121132300
5301202424204
622451130240
73461503620
oct1071313660
9341772116
10149264304
117728a532
1241ba3980
1324c02097
1415b76880
15d1866d9
hex8e597b0

149264304 has 160 divisors (see below), whose sum is σ = 470446080. Its totient is φ = 39833856.

The previous prime is 149264263. The next prime is 149264317. The reversal of 149264304 is 403462941.

149264304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 657439 + ... + 657665.

It is an arithmetic number, because the mean of its divisors is an integer number (2940288).

Almost surely, 2149264304 is an apocalyptic number.

149264304 is a gapful number since it is divisible by the number (14) 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 149264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235223040).

149264304 is an abundant number, since it is smaller than the sum of its proper divisors (321181776).

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

149264304 is a wasteful number, since it uses less digits than its factorization.

149264304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 149264304 is about 12217.3771325927. The cubic root of 149264304 is about 530.4592009339.

The spelling of 149264304 in words is "one hundred forty-nine million, two hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 103 112 114 133 152 168 206 227 228 266 304 309 336 399 412 454 456 532 618 681 721 798 824 908 912 1064 1236 1362 1442 1589 1596 1648 1816 1957 2128 2163 2472 2724 2884 3178 3192 3632 3914 4313 4326 4767 4944 5448 5768 5871 6356 6384 7828 8626 8652 9534 10896 11536 11742 12712 12939 13699 15656 17252 17304 19068 23381 23484 25424 25878 27398 30191 31312 34504 34608 38136 41097 46762 46968 51756 54796 60382 69008 70143 76272 82194 90573 93524 93936 103512 109592 120764 140286 163667 164388 181146 187048 207024 219184 241528 280572 327334 328776 362292 374096 444239 483056 491001 561144 654668 657552 724584 888478 982002 1122288 1309336 1332717 1449168 1776956 1964004 2618672 2665434 3109673 3553912 3928008 5330868 6219346 7107824 7856016 9329019 10661736 12438692 18658038 21323472 24877384 37316076 49754768 74632152 149264304