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3934427040 = 25335910747
BaseRepresentation
bin1110101010000010…
…1001011110100000
3101011012022121021000
43222200221132200
531024203131130
61450224232000
7166333035525
oct35240513640
911135277230
103934427040
1117399772a5
1291976b600
134a9172c4b
1429476514c
15180621260
hexea8297a0

3934427040 has 96 divisors (see below), whose sum is σ = 13770509760. Its totient is φ = 1049179392.

The previous prime is 3934426999. The next prime is 3934427083. The reversal of 3934427040 is 407244393.

3934427040 is a `hidden beast` number, since 3 + 9 + 344 + 270 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×39344270402 = 30959432266166323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3934426986 and 3934427004.

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, 451054 + ... + 459693.

It is an arithmetic number, because the mean of its divisors is an integer number (143442810).

Almost surely, 23934427040 is an apocalyptic number.

3934427040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3934427040 is an abundant number, since it is smaller than the sum of its proper divisors (9836082720).

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

3934427040 is a wasteful number, since it uses less digits than its factorization.

3934427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910771 (or 910757 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3934427040 is about 62725.0112793932. The cubic root of 3934427040 is about 1578.6790005364.

The spelling of 3934427040 in words is "three billion, nine hundred thirty-four million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 910747 1821494 2732241 3642988 4553735 5464482 7285976 8196723 9107470 10928964 13661205 14571952 16393446 18214940 21857928 24590169 27322410 29143904 32786892 36429880 40983615 43715856 49180338 54644820 65573784 72859760 81967230 87431712 98360676 109289640 122950845 131147568 145719520 163934460 196721352 218579280 245901690 262295136 327868920 393442704 437158560 491803380 655737840 786885408 983606760 1311475680 1967213520 3934427040