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34137319740 = 22353671550287
BaseRepresentation
bin11111110010101111…
…100010100100111100
310021010002101112002120
4133302233202210330
51024403123212430
623403225122540
72315645300346
oct376257424474
9107102345076
1034137319740
1113528699647
126748629450
1332b0595ba4
14191bb06296
15d4be76610
hex7f2be293c

34137319740 has 48 divisors (see below), whose sum is σ = 95845005312. Its totient is φ = 9078474816.

The previous prime is 34137319717. The next prime is 34137319759. The reversal of 34137319740 is 4791373143.

It is a junction number, because it is equal to n+sod(n) for n = 34137319692 and 34137319701.

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, 753124 + ... + 797163.

It is an arithmetic number, because the mean of its divisors is an integer number (1996770944).

Almost surely, 234137319740 is an apocalyptic number.

34137319740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34137319740 is an abundant number, since it is smaller than the sum of its proper divisors (61707685572).

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

34137319740 is a wasteful number, since it uses less digits than its factorization.

34137319740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550666 (or 1550664 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 34137319740 in words is "thirty-four billion, one hundred thirty-seven million, three hundred nineteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 734 1101 1468 1835 2202 3670 4404 5505 7340 11010 22020 1550287 3100574 4650861 6201148 7751435 9301722 15502870 18603444 23254305 31005740 46508610 93017220 568955329 1137910658 1706865987 2275821316 2844776645 3413731974 5689553290 6827463948 8534329935 11379106580 17068659870 34137319740