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150308352 = 293383131
BaseRepresentation
bin10001111010110…
…00011000000000
3101110211110022000
420331120120000
5301434331402
622525344000
73503412525
oct1075303000
9343743260
10150308352
1177932987
1242408000
13251a936c
1415d6914c
15d2e0c1c
hex8f58600

150308352 has 160 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 49121280.

The previous prime is 150308351. The next prime is 150308383. The reversal of 150308352 is 253803051.

150308352 is a `hidden beast` number, since 1 + 5 + 0 + 308 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150308351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147327 + ... + 1147457.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2150308352 is an apocalyptic number.

150308352 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 150308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

150308352 is an abundant number, since it is smaller than the sum of its proper divisors (303412608).

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

150308352 is an equidigital number, since it uses as much as digits as its factorization.

150308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150308352 is about 12260.0306688034. The cubic root of 150308352 is about 531.6931163924.

The spelling of 150308352 in words is "one hundred fifty million, three hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 131 144 166 192 216 249 256 262 288 332 384 393 432 498 512 524 576 664 747 768 786 864 996 1048 1152 1179 1328 1494 1536 1572 1728 1992 2096 2241 2304 2358 2656 2988 3144 3456 3537 3984 4192 4482 4608 4716 5312 5976 6288 6912 7074 7968 8384 8964 9432 10624 10873 11952 12576 13824 14148 15936 16768 17928 18864 21248 21746 23904 25152 28296 31872 32619 33536 35856 37728 42496 43492 47808 50304 56592 63744 65238 67072 71712 75456 86984 95616 97857 100608 113184 127488 130476 143424 150912 173968 191232 195714 201216 226368 260952 286848 293571 301824 347936 382464 391428 452736 521904 573696 587142 603648 695872 782856 905472 1043808 1147392 1174284 1391744 1565712 1810944 2087616 2348568 2783488 3131424 4175232 4697136 5566976 6262848 8350464 9394272 12525696 16700928 18788544 25051392 37577088 50102784 75154176 150308352