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340370040 = 23355035639
BaseRepresentation
bin10100010010011…
…010001001111000
3212201110120220210
4110102122021320
51144113320130
653435151120
711302045323
oct2422321170
9781416823
10340370040
1116514805a
1295ba54a0
1355693bba
14332c17ba
151ed355b0
hex1449a278

340370040 has 64 divisors (see below), whose sum is σ = 1023321600. Its totient is φ = 90568832.

The previous prime is 340370021. The next prime is 340370119. The reversal of 340370040 is 40073043.

It is a junction number, because it is equal to n+sod(n) for n = 340369989 and 340370016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57541 + ... + 63179.

It is an arithmetic number, because the mean of its divisors is an integer number (15989400).

Almost surely, 2340370040 is an apocalyptic number.

340370040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340370040 is an abundant number, since it is smaller than the sum of its proper divisors (682951560).

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

340370040 is a wasteful number, since it uses less digits than its factorization.

340370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 340370040 is about 18449.1203042313. The cubic root of 340370040 is about 698.2063193614.

The spelling of 340370040 in words is "three hundred forty million, three hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 503 1006 1509 2012 2515 3018 4024 5030 5639 6036 7545 10060 11278 12072 15090 16917 20120 22556 28195 30180 33834 45112 56390 60360 67668 84585 112780 135336 169170 225560 338340 676680 2836417 5672834 8509251 11345668 14182085 17018502 22691336 28364170 34037004 42546255 56728340 68074008 85092510 113456680 170185020 340370040