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340430637420 = 223253701511019
BaseRepresentation
bin1001111010000110011…
…11110100100101101100
31012112201012022012201200
410331003033310211230
521034200220344140
6420220334005500
733411121446666
oct4750317644554
91175635265650
10340430637420
11121415246635
1255b89646890
132614418b8c3
14126969ab536
158cc6dac030
hex4f433f496c

340430637420 has 72 divisors (see below), whose sum is σ = 1032920637840. Its totient is φ = 90756796800.

The previous prime is 340430637383. The next prime is 340430637451. The reversal of 340430637420 is 24736034043.

340430637420 is a `hidden beast` number, since 340 + 4 + 306 + 3 + 7 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410671 + ... + 921689.

It is an arithmetic number, because the mean of its divisors is an integer number (14346119970).

Almost surely, 2340430637420 is an apocalyptic number.

340430637420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340430637420 is an abundant number, since it is smaller than the sum of its proper divisors (692490000420).

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

340430637420 is a wasteful number, since it uses less digits than its factorization.

340430637420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514735 (or 514730 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 340430637420 in words is "three hundred forty billion, four hundred thirty million, six hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3701 7402 11103 14804 18505 22206 33309 37010 44412 55515 66618 74020 111030 133236 166545 222060 333090 511019 666180 1022038 1533057 2044076 2555095 3066114 4599171 5110190 6132228 7665285 9198342 10220380 15330570 18396684 22995855 30661140 45991710 91983420 1891281319 3782562638 5673843957 7565125276 9456406595 11347687914 17021531871 18912813190 22695375828 28369219785 34043063742 37825626380 56738439570 68086127484 85107659355 113476879140 170215318710 340430637420