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3346498272 = 2531319141131
BaseRepresentation
bin1100011101110111…
…1000001011100000
322122020000201121110
43013131320023200
523323200421042
61312023023320
7145633523505
oct30735701340
98566021543
103346498272
111468013757
1279489ab40
134144128c0
1423a6414ac
15148bda09c
hexc77782e0

3346498272 has 96 divisors (see below), whose sum is σ = 9958273920. Its totient is φ = 975490560.

The previous prime is 3346498249. The next prime is 3346498273. The reversal of 3346498272 is 2728946433.

3346498272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33464982722 = 22398101368997971968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346498273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46854 + ... + 94277.

It is an arithmetic number, because the mean of its divisors is an integer number (103732020).

Almost surely, 23346498272 is an apocalyptic number.

3346498272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3346498272 is an abundant number, since it is smaller than the sum of its proper divisors (6611775648).

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

3346498272 is a wasteful number, since it uses less digits than its factorization.

3346498272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141176 (or 141168 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 3346498272 is about 57848.9262821705. The cubic root of 3346498272 is about 1495.7655794811.

The spelling of 3346498272 in words is "three billion, three hundred forty-six million, four hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 141131 282262 423393 564524 846786 1129048 1693572 1834703 2258096 2681489 3387144 3669406 4516192 5362978 5504109 6774288 7338812 8044467 10725956 11008218 13548576 14677624 16088934 21451912 22016436 29355248 32177868 34859357 42903824 44032872 58710496 64355736 69718714 85807648 88065744 104578071 128711472 139437428 176131488 209156142 257422944 278874856 418312284 557749712 836624568 1115499424 1673249136 3346498272