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429014640 = 24351787561
BaseRepresentation
bin11001100100100…
…011111001110000
31002220021012110010
4121210203321300
51334311432030
6110323134520
713426364355
oct3144437160
91086235403
10429014640
1120019305a
12bb814440
136ab5cc22
1440d9862c
15279e56b0
hex19923e70

429014640 has 40 divisors (see below), whose sum is σ = 1329946128. Its totient is φ = 114403840.

The previous prime is 429014629. The next prime is 429014659. The reversal of 429014640 is 46410924.

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

It is a super-2 number, since 2×4290146402 = 368107122668659200, which contains 22 as substring.

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 = 429014598 and 429014607.

It is a congruent number.

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, 893541 + ... + 894020.

Almost surely, 2429014640 is an apocalyptic number.

429014640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429014640 is an abundant number, since it is smaller than the sum of its proper divisors (900931488).

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

429014640 is a wasteful number, since it uses less digits than its factorization.

429014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787577 (or 1787571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 429014640 is about 20712.6685871232. The cubic root of 429014640 is about 754.2072523495.

The spelling of 429014640 in words is "four hundred twenty-nine million, fourteen 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 1787561 3575122 5362683 7150244 8937805 10725366 14300488 17875610 21450732 26813415 28600976 35751220 42901464 53626830 71502440 85802928 107253660 143004880 214507320 429014640