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354495042 = 23411331601
BaseRepresentation
bin10101001000010…
…010101001000010
3220201001012210000
4111020102221002
51211222320132
655102020430
711533105146
oct2510225102
9821035700
10354495042
11172115410
129a877716
135859b1a5
143511b226
15211c587c
hex15212a42

354495042 has 80 divisors (see below), whose sum is σ = 870607584. Its totient is φ = 106920000.

The previous prime is 354495023. The next prime is 354495047. The reversal of 354495042 is 240594453.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 354494988 and 354495006.

It is not an unprimeable number, because it can be changed into a prime (354495047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 589542 + ... + 590142.

Almost surely, 2354495042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354495042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435303792).

354495042 is an abundant number, since it is smaller than the sum of its proper divisors (516112542).

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

354495042 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (354495041) it forms an eRAP, since the sums of their prime factors are consecutive (956 and 957).

354495042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 354495042 is about 18828.0387188894. The cubic root of 354495042 is about 707.7339922837.

The spelling of 354495042 in words is "three hundred fifty-four million, four hundred ninety-five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 331 594 601 662 891 993 1202 1782 1803 1986 2979 3606 3641 5409 5958 6611 7282 8937 10818 10923 13222 16227 17874 19833 21846 26811 32454 32769 39666 48681 53622 59499 65538 97362 98307 118998 178497 196614 198931 294921 356994 397862 535491 589842 596793 1070982 1193586 1790379 2188241 3580758 4376482 5371137 6564723 10742274 13129446 16113411 19694169 32226822 39388338 59082507 118165014 177247521 354495042