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3514245456 = 243891097547
BaseRepresentation
bin1101000101110111…
…0010000101010000
3100001220200011111010
43101131302011100
524144121323311
61340414250520
7153041410401
oct32135620520
910056604433
103514245456
111543777697
12820ab6a40
134400b66a7
14254a299a8
151587c2da6
hexd1772150

3514245456 has 80 divisors (see below), whose sum is σ = 9265924800. Its totient is φ = 1147474944.

The previous prime is 3514245419. The next prime is 3514245461. The reversal of 3514245456 is 6545424153.

It is a super-2 number, since 2×35142454562 = 24699842250033295872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461875 + ... + 469421.

It is an arithmetic number, because the mean of its divisors is an integer number (115824060).

Almost surely, 23514245456 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 3514245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632962400).

3514245456 is an abundant number, since it is smaller than the sum of its proper divisors (5751679344).

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

3514245456 is a wasteful number, since it uses less digits than its factorization.

3514245456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7750 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The square root of 3514245456 is about 59281.0716502325. The cubic root of 3514245456 is about 1520.3515830292.

The spelling of 3514245456 in words is "three billion, five hundred fourteen million, two hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 109 178 218 267 327 356 436 534 654 712 872 1068 1308 1424 1744 2136 2616 4272 5232 7547 9701 15094 19402 22641 29103 30188 38804 45282 58206 60376 77608 90564 116412 120752 155216 181128 232824 362256 465648 671683 822623 1343366 1645246 2015049 2467869 2686732 3290492 4030098 4935738 5373464 6580984 8060196 9871476 10746928 13161968 16120392 19742952 32240784 39485904 73213447 146426894 219640341 292853788 439280682 585707576 878561364 1171415152 1757122728 3514245456