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3964142360 = 235317343793
BaseRepresentation
bin1110110001001000…
…0000001100011000
3101020021020022000102
43230102000030120
531104310023420
61453205154532
7200143440233
oct35422001430
911207208012
103964142360
111754722912
129276bba48
134b2378489
1429869c41a
15183040a75
hexec480318

3964142360 has 64 divisors (see below), whose sum is σ = 9333377280. Its totient is φ = 1513451520.

The previous prime is 3964142353. The next prime is 3964142383. The reversal of 3964142360 is 632414693.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68624 + ... + 112416.

It is an arithmetic number, because the mean of its divisors is an integer number (145834020).

Almost surely, 23964142360 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 3964142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666688640).

3964142360 is an abundant number, since it is smaller than the sum of its proper divisors (5369234920).

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

3964142360 is a wasteful number, since it uses less digits than its factorization.

3964142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43908 (or 43904 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 3964142360 is about 62961.4354982477. The cubic root of 3964142360 is about 1582.6434358248.

The spelling of 3964142360 in words is "three billion, nine hundred sixty-four million, one hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 584 620 730 1240 1460 2263 2920 4526 9052 11315 18104 22630 43793 45260 87586 90520 175172 218965 350344 437930 875860 1357583 1751720 2715166 3196889 5430332 6393778 6787915 10860664 12787556 13575830 15984445 25575112 27151660 31968890 54303320 63937780 99103559 127875560 198207118 396414236 495517795 792828472 991035590 1982071180 3964142360