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349022640 = 24351454261
BaseRepresentation
bin10100110011011…
…010100110110000
3220022202012001110
4110303122212300
51203322211030
654344433320
711435433501
oct2463324660
9808665043
10349022640
1116a01796a
1298a78840
1357403395
14344d4ba8
15209941b0
hex14cda9b0

349022640 has 40 divisors (see below), whose sum is σ = 1081970928. Its totient is φ = 93072640.

The previous prime is 349022629. The next prime is 349022651. The reversal of 349022640 is 46220943.

It is an interprime number because it is at equal distance from previous prime (349022629) and next prime (349022651).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 349022598 and 349022607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726891 + ... + 727370.

Almost surely, 2349022640 is an apocalyptic number.

349022640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349022640 is an abundant number, since it is smaller than the sum of its proper divisors (732948288).

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

349022640 is a wasteful number, since it uses less digits than its factorization.

349022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454277 (or 1454271 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 349022640 is about 18682.1476281502. The cubic root of 349022640 is about 704.0732856731.

The spelling of 349022640 in words is "three hundred forty-nine million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1454261 2908522 4362783 5817044 7271305 8725566 11634088 14542610 17451132 21813915 23268176 29085220 34902264 43627830 58170440 69804528 87255660 116340880 174511320 349022640