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354634968 = 23329618353
BaseRepresentation
bin10101001000110…
…100110011011000
3220201022022201110
4111020310303120
51211241304333
655105020320
711534230122
oct2510646330
9821268643
10354634968
11172200556
129a9246a0
1358619a9c
1435156212
1521202063
hex15234cd8

354634968 has 64 divisors (see below), whose sum is σ = 932306400. Its totient is φ = 112250880.

The previous prime is 354634963. The next prime is 354635003. The reversal of 354634968 is 869436453.

It is a super-2 number, since 2×3546349682 = 251531921056722048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354634963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38280 + ... + 46632.

Almost surely, 2354634968 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 354634968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466153200).

354634968 is an abundant number, since it is smaller than the sum of its proper divisors (577671432).

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

354634968 is a wasteful number, since it uses less digits than its factorization.

354634968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8448 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 354634968 is about 18831.7542464848. The cubic root of 354634968 is about 707.8270987667.

The spelling of 354634968 in words is "three hundred fifty-four million, six hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 696 732 1464 1769 3538 5307 7076 8353 10614 14152 16706 21228 25059 33412 42456 50118 66824 100236 200472 242237 484474 509533 726711 968948 1019066 1453422 1528599 1937896 2038132 2906844 3057198 4076264 5813688 6114396 12228792 14776457 29552914 44329371 59105828 88658742 118211656 177317484 354634968