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350355096 = 233272137639
BaseRepresentation
bin10100111000011…
…111111010011000
3220102020212211200
4110320133322120
51204142330341
654433154200
711452653300
oct2470377230
9812225750
10350355096
1116a847a73
12993bb960
135777ba10
1434760600
1520b58db6
hex14e1fe98

350355096 has 144 divisors (see below), whose sum is σ = 1188860400. Its totient is φ = 92389248.

The previous prime is 350355073. The next prime is 350355101. The reversal of 350355096 is 690553053.

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

It is a self number, because there is not a number n which added to its sum of digits gives 350355096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42045 + ... + 49683.

It is an arithmetic number, because the mean of its divisors is an integer number (8255975).

Almost surely, 2350355096 is an apocalyptic number.

350355096 is a gapful number since it is divisible by the number (36) 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 350355096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594430200).

350355096 is an abundant number, since it is smaller than the sum of its proper divisors (838505304).

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

350355096 is a wasteful number, since it uses less digits than its factorization.

350355096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 350355096 is about 18717.7748677560. The cubic root of 350355096 is about 704.9681228985.

The spelling of 350355096 in words is "three hundred fifty million, three hundred fifty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7639 7644 11466 15278 15288 22917 22932 30556 45834 45864 53473 61112 68751 91668 99307 106946 137502 160419 183336 198614 213892 275004 297921 320838 374311 397228 427784 481257 550008 595842 641676 695149 748622 794456 893763 962514 1122933 1191684 1283352 1390298 1497244 1787526 1925028 2085447 2245866 2383368 2780596 2994488 3368799 3575052 3850056 4170894 4491732 4866043 5561192 6256341 6737598 7150104 8341788 8983464 9732086 12512682 13475196 14598129 16683576 19464172 25025364 26950392 29196258 38928344 43794387 50050728 58392516 87588774 116785032 175177548 350355096