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3413538768 = 243241729423
BaseRepresentation
bin1100101101110110…
…0111011111010000
322210220011201212210
43023131213133100
523442331220033
61322415552120
7150406413033
oct31335473720
98726151783
103413538768
1114a1943222
127b322b640
13425286333
142454d301a
1514ea2dd63
hexcb7677d0

3413538768 has 40 divisors (see below), whose sum is σ = 8822256768. Its totient is φ = 1137336832.

The previous prime is 3413538761. The next prime is 3413538769. The reversal of 3413538768 is 8678353143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413538761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101305 + ... + 130727.

Almost surely, 23413538768 is an apocalyptic number.

It is an amenable number.

3413538768 is an abundant number, since it is smaller than the sum of its proper divisors (5408718000).

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

3413538768 is a wasteful number, since it uses less digits than its factorization.

3413538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31851 (or 31845 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 3413538768 is about 58425.4975845307. The cubic root of 3413538768 is about 1505.6878520760.

The spelling of 3413538768 in words is "three billion, four hundred thirteen million, five hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2417 4834 7251 9668 14502 19336 29004 29423 38672 58008 58846 88269 116016 117692 176538 235384 353076 470768 706152 1412304 71115391 142230782 213346173 284461564 426692346 568923128 853384692 1137846256 1706769384 3413538768