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34215512340 = 22351024355673
BaseRepresentation
bin11111110111011001…
…110100100100010100
310021022112112010011210
4133313121310210110
51030033132343330
623415101101420
72320615025202
oct376731644424
9107275463153
1034215512340
1113568845929
12676a857870
1332c38426b9
14192825c072
15d53c6e8b0
hex7f7674914

34215512340 has 48 divisors (see below), whose sum is σ = 95814508608. Its totient is φ = 9123081984.

The previous prime is 34215512323. The next prime is 34215512371. The reversal of 34215512340 is 4321551243.

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 = 34215512298 and 34215512307.

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, 586744 + ... + 642416.

It is an arithmetic number, because the mean of its divisors is an integer number (1996135596).

Almost surely, 234215512340 is an apocalyptic number.

34215512340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34215512340 is an abundant number, since it is smaller than the sum of its proper divisors (61598996268).

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

34215512340 is a wasteful number, since it uses less digits than its factorization.

34215512340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65928 (or 65926 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34215512340 in words is "thirty-four billion, two hundred fifteen million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10243 20486 30729 40972 51215 55673 61458 102430 111346 122916 153645 167019 204860 222692 278365 307290 334038 556730 614580 668076 835095 1113460 1670190 3340380 570258539 1140517078 1710775617 2281034156 2851292695 3421551234 5702585390 6843102468 8553878085 11405170780 17107756170 34215512340