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34609440 = 253572103
BaseRepresentation
bin1000010000000…
…1100100100000
32102010100020010
42010001210200
532330000230
63233444520
7600114105
oct204014440
972110203
1034609440
1118599648
12b710740
13722a078
14484caac
1530899b0
hex2101920

34609440 has 48 divisors (see below), whose sum is σ = 109021248. Its totient is φ = 9229056.

The previous prime is 34609439. The next prime is 34609451. The reversal of 34609440 is 4490643.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×346094402 = 2395626674227200, 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 = 34609398 and 34609407.

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, 35572 + ... + 36531.

It is an arithmetic number, because the mean of its divisors is an integer number (2271276).

Almost surely, 234609440 is an apocalyptic number.

34609440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34609440 is an abundant number, since it is smaller than the sum of its proper divisors (74411808).

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

34609440 is a wasteful number, since it uses less digits than its factorization.

34609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72121 (or 72113 counting only the distinct ones).

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

The square root of 34609440 is about 5882.9788372898. The cubic root of 34609440 is about 325.8853649912.

The spelling of 34609440 in words is "thirty-four million, six hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 72103 144206 216309 288412 360515 432618 576824 721030 865236 1081545 1153648 1442060 1730472 2163090 2307296 2884120 3460944 4326180 5768240 6921888 8652360 11536480 17304720 34609440