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3122796408 = 233312711907
BaseRepresentation
bin1011101000100010…
…0001011101111000
322001122002111100020
42322020201131320
522343413441113
61233512210440
7140246221464
oct27210413570
98048074306
103122796408
111362812186
12731999a20
133a9c7a234
14218a4d4a4
1513424d023
hexba221778

3122796408 has 96 divisors (see below), whose sum is σ = 8184862080. Its totient is φ = 992644800.

The previous prime is 3122796407. The next prime is 3122796437. The reversal of 3122796408 is 8046972213.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3122796408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122796401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636591 + ... + 1638497.

It is an arithmetic number, because the mean of its divisors is an integer number (85258980).

Almost surely, 23122796408 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 3122796408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092431040).

3122796408 is an abundant number, since it is smaller than the sum of its proper divisors (5062065672).

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

3122796408 is a wasteful number, since it uses less digits than its factorization.

3122796408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3122796408 is about 55881.9864357022. The cubic root of 3122796408 is about 1461.6651433893.

The spelling of 3122796408 in words is "three billion, one hundred twenty-two million, seven hundred ninety-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 961 1704 1907 1922 2201 2883 3814 3844 4402 5721 5766 6603 7628 7688 8804 11442 11532 13206 15256 17608 22884 23064 26412 45768 52824 59117 68231 118234 135397 136462 177351 204693 236468 270794 272924 354702 406191 409386 472936 541588 545848 709404 812382 818772 1083176 1418808 1624764 1637544 1832627 3249528 3665254 4197307 5497881 7330508 8394614 10995762 12591921 14661016 16789228 21991524 25183842 33578456 43983048 50367684 100735368 130116517 260233034 390349551 520466068 780699102 1040932136 1561398204 3122796408