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340784040 = 233517167051
BaseRepresentation
bin10100010011111…
…111001110101000
3212202020121211010
4110103333032220
51144220042130
653452103520
711305421322
oct2423771650
9782217733
10340784040
11165400103
1296164ba0
13557aa47c
143338c612
151edb80b0
hex144ff3a8

340784040 has 64 divisors (see below), whose sum is σ = 1082496960. Its totient is φ = 85529600.

The previous prime is 340784027. The next prime is 340784047. The reversal of 340784040 is 40487043.

It is a super-2 number, since 2×3407840402 = 232267523837443200, 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 = 340783989 and 340784007.

It is not an unprimeable number, because it can be changed into a prime (340784047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81486 + ... + 85565.

It is an arithmetic number, because the mean of its divisors is an integer number (16914015).

Almost surely, 2340784040 is an apocalyptic number.

340784040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340784040 is an abundant number, since it is smaller than the sum of its proper divisors (741712920).

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

340784040 is a wasteful number, since it uses less digits than its factorization.

340784040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167082 (or 167078 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 340784040 is about 18460.3369416704. The cubic root of 340784040 is about 698.4892861972.

The spelling of 340784040 in words is "three hundred forty million, seven hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 167051 334102 501153 668204 835255 1002306 1336408 1670510 2004612 2505765 2839867 3341020 4009224 5011530 5679734 6682040 8519601 10023060 11359468 14199335 17039202 20046120 22718936 28398670 34078404 42598005 56797340 68156808 85196010 113594680 170392020 340784040