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3355914408 = 2337112716701
BaseRepresentation
bin1100100000000111…
…0011000010101000
322122212202010010020
43020001303002220
523333103230113
61313000520440
7146106542010
oct31001630250
98585663106
103355914408
111472365190
12797a80120
1341635b792
1423b9b2c40
1514994a023
hexc80730a8

3355914408 has 128 divisors (see below), whose sum is σ = 10500157440. Its totient is φ = 868320000.

The previous prime is 3355914371. The next prime is 3355914413. The reversal of 3355914408 is 8044195533.

It is a super-2 number, since 2×33559144082 = 22524323027643980928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3355914408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497458 + ... + 504158.

It is an arithmetic number, because the mean of its divisors is an integer number (82032480).

Almost surely, 23355914408 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 3355914408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250078720).

3355914408 is an abundant number, since it is smaller than the sum of its proper divisors (7144243032).

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

3355914408 is a wasteful number, since it uses less digits than its factorization.

3355914408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3355914408 is about 57930.2546861310. The cubic root of 3355914408 is about 1497.1671582619.

The spelling of 3355914408 in words is "three billion, three hundred fifty-five million, nine hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 271 308 462 542 616 813 924 1084 1626 1848 1897 2168 2981 3252 3794 5691 5962 6504 6701 7588 8943 11382 11924 13402 15176 17886 20103 20867 22764 23848 26804 35772 40206 41734 45528 46907 53608 62601 71544 73711 80412 83468 93814 125202 140721 147422 160824 166936 187628 221133 250404 281442 294844 375256 442266 500808 515977 562884 589688 884532 1031954 1125768 1547931 1769064 1815971 2063908 3095862 3631942 4127816 5447913 6191724 7263884 10895826 12383448 12711797 14527768 19975681 21791652 25423594 38135391 39951362 43583304 50847188 59927043 76270782 79902724 101694376 119854086 139829767 152541564 159805448 239708172 279659534 305083128 419489301 479416344 559319068 838978602 1118638136 1677957204 3355914408