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2952346480 = 2451711319211
BaseRepresentation
bin1010111111111001…
…0011101101110000
321121202100201222221
42233332103231300
522021300041410
61204543010424
7133106350066
oct25776235560
97552321887
102952346480
111285582676
126a4899a14
1338086b1a5
14200160036
151242ce4da
hexaff93b70

2952346480 has 80 divisors (see below), whose sum is σ = 7332682464. Its totient is φ = 1101578240.

The previous prime is 2952346469. The next prime is 2952346499. The reversal of 2952346480 is 846432592.

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

It is a congruent number.

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, 144075 + ... + 163285.

Almost surely, 22952346480 is an apocalyptic number.

2952346480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666341232).

2952346480 is an abundant number, since it is smaller than the sum of its proper divisors (4380335984).

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

2952346480 is a wasteful number, since it uses less digits than its factorization.

2952346480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 2952346480 is about 54335.4992615325. The cubic root of 2952346480 is about 1434.5723014859.

The spelling of 2952346480 in words is "two billion, nine hundred fifty-two million, three hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 113 136 170 226 272 340 452 565 680 904 1130 1360 1808 1921 2260 3842 4520 7684 9040 9605 15368 19210 19211 30736 38420 38422 76840 76844 96055 153680 153688 192110 307376 326587 384220 653174 768440 1306348 1536880 1632935 2170843 2612696 3265870 4341686 5225392 6531740 8683372 10854215 13063480 17366744 21708430 26126960 34733488 36904331 43416860 73808662 86833720 147617324 173667440 184521655 295234648 369043310 590469296 738086620 1476173240 2952346480