Search a number
-
+
353904474 = 237111136779
BaseRepresentation
bin10101000110000…
…010011101011010
3220122221012200010
4111012002131122
51211044420344
655041222350
711525065320
oct2506023532
9818835603
10353904474
11171851740
129a6319b6
1358422441
1435005d10
152110a8b9
hex1518275a

353904474 has 64 divisors (see below), whose sum is σ = 890403840. Its totient is φ = 91096320.

The previous prime is 353904457. The next prime is 353904503. The reversal of 353904474 is 474409353.

It is a super-4 number, since 4×3539044744 (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48817 + ... + 55595.

It is an arithmetic number, because the mean of its divisors is an integer number (13912560).

Almost surely, 2353904474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353904474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445201920).

353904474 is an abundant number, since it is smaller than the sum of its proper divisors (536499366).

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

353904474 is a wasteful number, since it uses less digits than its factorization.

353904474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915.

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 353904474 is about 18812.3489761380. The cubic root of 353904474 is about 707.3407593603.

The spelling of 353904474 in words is "three hundred fifty-three million, nine hundred four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 154 226 231 339 462 678 791 1243 1582 2373 2486 3729 4746 6779 7458 8701 13558 17402 20337 26103 40674 47453 52206 74569 94906 142359 149138 223707 284718 447414 521983 766027 1043966 1532054 1565949 2298081 3131898 4596162 5362189 8426297 10724378 16086567 16852594 25278891 32173134 50557782 58984079 117968158 176952237 353904474