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3268074640 = 245103613647
BaseRepresentation
bin1100001011001010…
…1101110010010000
322102202110101121111
43002302231302100
523143111342030
61300142103104
7143662114255
oct30262556220
98382411544
103268074640
111427819936
1277257aa94
134010b4b9c
1423006942c
15141d9862a
hexc2cadc90

3268074640 has 80 divisors (see below), whose sum is σ = 7696435968. Its totient is φ = 1290428928.

The previous prime is 3268074637. The next prime is 3268074671. The reversal of 3268074640 is 464708623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32680746402 = 21360623705222259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3268074593 and 3268074602.

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, 5050797 + ... + 5051443.

Almost surely, 23268074640 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 3268074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848217984).

3268074640 is an abundant number, since it is smaller than the sum of its proper divisors (4428361328).

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

3268074640 is a wasteful number, since it uses less digits than its factorization.

3268074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 3268074640 is about 57167.0765388611. The cubic root of 3268074640 is about 1483.9889106826.

The spelling of 3268074640 in words is "three billion, two hundred sixty-eight million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 613 647 824 1030 1226 1294 1648 2060 2452 2588 3065 3235 4120 4904 5176 6130 6470 8240 9808 10352 12260 12940 24520 25880 49040 51760 63139 66641 126278 133282 252556 266564 315695 333205 396611 505112 533128 631390 666410 793222 1010224 1066256 1262780 1332820 1586444 1983055 2525560 2665640 3172888 3966110 5051120 5331280 6345776 7932220 15864440 31728880 40850933 81701866 163403732 204254665 326807464 408509330 653614928 817018660 1634037320 3268074640