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3145190724 = 22321327192
BaseRepresentation
bin1011101101110111…
…1100110101000100
322010012020020120100
42323131330311010
522420132100344
61240032204100
7140640452154
oct27335746504
98105206510
103145190724
111374418385
12739399630
133b17bb400
1421b9dc764
151361c3569
hexbb77cd44

3145190724 has 81 divisors (see below), whose sum is σ = 8620941693. Its totient is φ = 966405024.

The previous prime is 3145190717. The next prime is 3145190761. The reversal of 3145190724 is 4270915413.

The square root of 3145190724 is 56082.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 465264900 + 2679925824 = 21570^2 + 51768^2 .

It is a super-3 number, since 3×31451907243 (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4374037 + ... + 4374755.

Almost surely, 23145190724 is an apocalyptic number.

3145190724 is the 56082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145190724

3145190724 is an abundant number, since it is smaller than the sum of its proper divisors (5475750969).

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

3145190724 is a wasteful number, since it uses less digits than its factorization.

3145190724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 3145190724 is about 1465.1508072766.

Multiplying 3145190724 by its sum of digits (36), we get a square (113226866064 = 3364922).

3145190724 divided by its sum of digits (36) gives a square (87366409 = 93472).

The spelling of 3145190724 in words is "three billion, one hundred forty-five million, one hundred ninety thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 719 1014 1438 1521 2028 2157 2876 3042 4314 6084 6471 8628 9347 12942 18694 25884 28041 37388 56082 84123 112164 121511 168246 243022 336492 364533 486044 516961 729066 1033922 1093599 1458132 1550883 2067844 2187198 3101766 4374396 4652649 6203532 6720493 9305298 13440986 18610596 20161479 26881972 40322958 60484437 80645916 87366409 120968874 174732818 241937748 262099227 349465636 524198454 786297681 1048396908 1572595362 3145190724