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341064480 = 25353122921
BaseRepresentation
bin10100010101000…
…011101100100000
3212202202212111210
4110111003230200
51144303030410
653502110120
711311000041
oct2425035440
9782685453
10341064480
11165581879
129627b340
1355878003
14334228c8
151ee21220
hex14543b20

341064480 has 96 divisors (see below), whose sum is σ = 1109058048. Its totient is φ = 88012800.

The previous prime is 341064473. The next prime is 341064499. The reversal of 341064480 is 84460143.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420 + ... + 26340.

It is an arithmetic number, because the mean of its divisors is an integer number (11552688).

Almost surely, 2341064480 is an apocalyptic number.

341064480 is a gapful number since it is divisible by the number (30) 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 341064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554529024).

341064480 is an abundant number, since it is smaller than the sum of its proper divisors (767993568).

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

341064480 is a wasteful number, since it uses less digits than its factorization.

341064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 341064480 is about 18467.9311239781. The cubic root of 341064480 is about 698.6808352959.

The spelling of 341064480 in words is "three hundred forty-one million, sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 22921 45842 68763 91684 114605 137526 183368 229210 275052 343815 366736 458420 550104 687630 710551 733472 916840 1100208 1375260 1421102 1833680 2131653 2200416 2750520 2842204 3552755 3667360 4263306 5501040 5684408 7105510 8526612 10658265 11002080 11368816 14211020 17053224 21316530 22737632 28422040 34106448 42633060 56844080 68212896 85266120 113688160 170532240 341064480