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3364407046 = 2711132257503
BaseRepresentation
bin1100100010001000…
…1100011100000110
322200110201120211101
43020202030130012
523342242011141
61313502530314
7146241662620
oct31042143406
98613646741
103364407046
1114771358a0
1279a89699a
13418043200
1423cb83c10
1514a576531
hexc888c706

3364407046 has 96 divisors (see below), whose sum is σ = 6853206528. Its totient is φ = 1202872320.

The previous prime is 3364407031. The next prime is 3364407071. The reversal of 3364407046 is 6407044633.

It is a super-2 number, since 2×33644070462 = 22638469542348892232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3364406996 and 3364407014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6688431 + ... + 6688933.

It is an arithmetic number, because the mean of its divisors is an integer number (71387568).

Almost surely, 23364407046 is an apocalyptic number.

3364407046 is an abundant number, since it is smaller than the sum of its proper divisors (3488799482).

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

3364407046 is a wasteful number, since it uses less digits than its factorization.

3364407046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The square root of 3364407046 is about 58003.5089110995. The cubic root of 3364407046 is about 1498.4290287554.

The spelling of 3364407046 in words is "three billion, three hundred sixty-four million, four hundred seven thousand, forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 257 286 338 503 514 1001 1006 1183 1799 1859 2002 2366 2827 3341 3521 3598 3718 5533 5654 6539 6682 7042 11066 13013 13078 19789 23387 26026 36751 38731 39578 43433 45773 46774 71929 73502 77462 85007 86866 91546 129271 143858 170014 257257 258542 304031 477763 503503 514514 595049 608062 904897 935077 955526 1007006 1190098 1421981 1680523 1809794 1870154 2843962 3344341 3361046 6545539 6688682 9953867 11763661 13091078 18485753 19907734 21846799 23527322 36971506 43693598 129400271 152927593 240314789 258800542 305855186 480629578 1682203523 3364407046