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358142148 = 22357134049
BaseRepresentation
bin10101010110001…
…101000011000100
3220221220111200000
4111112031003010
51213141022043
655312121300
711606105130
oct2526150304
9827814600
10358142148
11174186551
129bb36230
1359277240
14357ca3c0
15216962d3
hex1558d0c4

358142148 has 144 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 94431744.

The previous prime is 358142143. The next prime is 358142149. The reversal of 358142148 is 841241853.

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

It is not an unprimeable number, because it can be changed into a prime (358142143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86428 + ... + 90476.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2358142148 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 358142148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

358142148 is an abundant number, since it is smaller than the sum of its proper divisors (797630652).

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

358142148 is a wasteful number, since it uses less digits than its factorization.

358142148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4074 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 358142148 is about 18924.6439332422. The cubic root of 358142148 is about 710.1528124429.

The spelling of 358142148 in words is "three hundred fifty-eight million, one hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4049 4212 4914 6318 6804 7371 8098 9828 12147 12636 14742 16196 22113 24294 28343 29484 36441 44226 48588 52637 56686 72882 85029 88452 105274 109323 113372 145764 157911 170058 210548 218646 255087 315822 327969 340116 368459 437292 473733 510174 631644 655938 736918 765261 947466 983907 1020348 1105377 1311876 1421199 1473836 1530522 1894932 1967814 2210754 2295783 2842398 3061044 3316131 3935628 4263597 4421508 4591566 5684796 6632262 6887349 8527194 9183132 9948393 12790791 13264524 13774698 17054388 19896786 25581582 27549396 29845179 39793572 51163164 59690358 89535537 119380716 179071074 358142148