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3394340280 = 2332510391541
BaseRepresentation
bin1100101001010001…
…1000010110111000
322202120001100111200
43022110120112320
523422422342110
61320452254200
7150054262542
oct31224302670
98676040450
103394340280
111492020101
127a8911360
134212c3996
14242b36692
1514ceda6c0
hexca5185b8

3394340280 has 96 divisors (see below), whose sum is σ = 11138830560. Its totient is φ = 896359680.

The previous prime is 3394340273. The next prime is 3394340317. The reversal of 3394340280 is 820434933.

It is a happy number.

3394340280 is a `hidden beast` number, since 3 + 39 + 4 + 340 + 280 = 666.

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

It is a congruent number.

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, 8691 + ... + 82850.

It is an arithmetic number, because the mean of its divisors is an integer number (116029485).

Almost surely, 23394340280 is an apocalyptic number.

3394340280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394340280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569415280).

3394340280 is an abundant number, since it is smaller than the sum of its proper divisors (7744490280).

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

3394340280 is a wasteful number, since it uses less digits than its factorization.

3394340280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91661 (or 91654 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3394340280 is about 58260.9670362585. The cubic root of 3394340280 is about 1502.8597710083.

The spelling of 3394340280 in words is "three billion, three hundred ninety-four million, three hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 91541 183082 274623 366164 457705 549246 732328 823869 915410 1098492 1373115 1647738 1830820 2196984 2746230 3295476 3661640 4119345 5492460 6590952 8238690 9428723 10984920 16477380 18857446 28286169 32954760 37714892 47143615 56572338 75429784 84858507 94287230 113144676 141430845 169717014 188574460 226289352 282861690 339434028 377148920 424292535 565723380 678868056 848585070 1131446760 1697170140 3394340280