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3414699240 = 2335198714321
BaseRepresentation
bin1100101110001000…
…0010110011101000
322210222100200202020
43023202002303220
523443130333430
61322500504440
7150422315241
oct31342026350
98728320666
103414699240
1114a2566097
127b36ab120
134255a15c4
14245715cc8
1514ebacb10
hexcb882ce8

3414699240 has 64 divisors (see below), whose sum is σ = 10249968960. Its totient is φ = 910064640.

The previous prime is 3414699151. The next prime is 3414699251. The reversal of 3414699240 is 429964143.

It is a junction number, because it is equal to n+sod(n) for n = 3414699192 and 3414699201.

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, 231280 + ... + 245600.

It is an arithmetic number, because the mean of its divisors is an integer number (160155765).

Almost surely, 23414699240 is an apocalyptic number.

3414699240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414699240 is an abundant number, since it is smaller than the sum of its proper divisors (6835269720).

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

3414699240 is a wasteful number, since it uses less digits than its factorization.

3414699240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16322 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3414699240 is about 58435.4279525700. The cubic root of 3414699240 is about 1505.8584580798.

It can be divided in two parts, 34146 and 99240, that added together give a triangular number (133386 = T516).

The spelling of 3414699240 in words is "three billion, four hundred fourteen million, six hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1987 3974 5961 7948 9935 11922 14321 15896 19870 23844 28642 29805 39740 42963 47688 57284 59610 71605 79480 85926 114568 119220 143210 171852 214815 238440 286420 343704 429630 572840 859260 1718520 28455827 56911654 85367481 113823308 142279135 170734962 227646616 284558270 341469924 426837405 569116540 682939848 853674810 1138233080 1707349620 3414699240