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3542056704 = 28322815471
BaseRepresentation
bin1101001100011111…
…0111111100000000
3100010212000010100100
43103013313330000
524223231303304
61343250322400
7153526661634
oct32307677400
910125003310
103542056704
11155844269a
1282a289400
13445aa3354
142585c8dc4
1515ae68439
hexd31f7f00

3542056704 has 108 divisors (see below), whose sum is σ = 10250839872. Its totient is φ = 1176268800.

The previous prime is 3542056663. The next prime is 3542056711. The reversal of 3542056704 is 4076502453.

It is a super-3 number, since 3×35420567043 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644689 + ... + 650159.

It is an arithmetic number, because the mean of its divisors is an integer number (94915184).

Almost surely, 23542056704 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 3542056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125419936).

3542056704 is an abundant number, since it is smaller than the sum of its proper divisors (6708783168).

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

3542056704 is a wasteful number, since it uses less digits than its factorization.

3542056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3542056704 is about 59515.1804500331. The cubic root of 3542056704 is about 1524.3516662162.

The spelling of 3542056704 in words is "three billion, five hundred forty-two million, fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 281 288 384 562 576 768 843 1124 1152 1686 2248 2304 2529 3372 4496 5058 5471 6744 8992 10116 10942 13488 16413 17984 20232 21884 26976 32826 35968 40464 43768 49239 53952 65652 71936 80928 87536 98478 107904 131304 161856 175072 196956 215808 262608 323712 350144 393912 525216 647424 700288 787824 1050432 1400576 1537351 1575648 2100864 3074702 3151296 4201728 4612053 6149404 6302592 9224106 12298808 12605184 13836159 18448212 24597616 27672318 36896424 49195232 55344636 73792848 98390464 110689272 147585696 196780928 221378544 295171392 393561856 442757088 590342784 885514176 1180685568 1771028352 3542056704