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3146997024 = 253217642769
BaseRepresentation
bin1011101110010011…
…0101110100100000
322010022122000100100
42323210311310200
522421112401044
61240135022400
7140662014303
oct27344656440
98108560310
103146997024
111375441496
12739b0aa00
133b1ca1622
1421bd4cb3a
1513642d869
hexbb935d20

3146997024 has 72 divisors (see below), whose sum is σ = 9475715340. Its totient is φ = 987291648.

The previous prime is 3146997017. The next prime is 3146997053. The reversal of 3146997024 is 4207996413.

It is a happy number.

3146997024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3014010000 + 132987024 = 54900^2 + 11532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316489 + ... + 326280.

Almost surely, 23146997024 is an apocalyptic number.

3146997024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3146997024 is an abundant number, since it is smaller than the sum of its proper divisors (6328718316).

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

3146997024 is a wasteful number, since it uses less digits than its factorization.

3146997024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642802 (or 642791 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3146997024 is about 56098.1017860676. The cubic root of 3146997024 is about 1465.4312349373.

The spelling of 3146997024 in words is "three billion, one hundred forty-six million, nine hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 642769 1285538 1928307 2571076 3856614 5142152 5784921 7713228 10284304 10927073 11569842 15426456 20568608 21854146 23139684 30852912 32781219 43708292 46279368 61705824 65562438 87416584 92558736 98343657 131124876 174833168 185117472 196687314 262249752 349666336 393374628 524499504 786749256 1048999008 1573498512 3146997024