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354063138 = 2311131937587
BaseRepresentation
bin10101000110101…
…001001100100010
3220200020021022120
4111012221030202
51211120010023
655044445110
711526326022
oct2506511442
9820207276
10354063138
1117194a970
129a6a9796
1358479720
1435047a82
152113c8e3
hex151a9322

354063138 has 128 divisors (see below), whose sum is σ = 900910080. Its totient is φ = 91134720.

The previous prime is 354063137. The next prime is 354063169. The reversal of 354063138 is 831360453.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 354063099 and 354063108.

It is not an unprimeable number, because it can be changed into a prime (354063133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602881 + ... + 603467.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2354063138 is an apocalyptic number.

354063138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354063138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

354063138 is an abundant number, since it is smaller than the sum of its proper divisors (546846942).

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

354063138 is a wasteful number, since it uses less digits than its factorization.

354063138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 354063138 is about 18816.5655208383. The cubic root of 354063138 is about 707.4464496005.

The spelling of 354063138 in words is "three hundred fifty-four million, sixty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 37 38 39 57 66 74 78 111 114 143 209 222 247 286 407 418 429 481 494 587 627 703 741 814 858 962 1174 1221 1254 1406 1443 1482 1761 2109 2442 2717 2886 3522 4218 5291 5434 6457 7631 7733 8151 9139 10582 11153 12914 15262 15466 15873 16302 18278 19371 21719 22306 22893 23199 27417 31746 33459 38742 43438 45786 46398 54834 65157 66918 83941 100529 122683 130314 144989 167882 201058 238909 245366 251823 282347 289978 301587 368049 412661 434967 477818 503646 564694 603174 716727 736098 825322 847041 869934 1237983 1433454 1594879 1694082 2475966 3105817 3189758 4539271 4784637 5364593 6211634 9078542 9317451 9569274 10729186 13617813 16093779 18634902 27235626 32187558 59010523 118021046 177031569 354063138