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34426700 = 225271117263
BaseRepresentation
bin1000001101010…
…0111101001100
32101210001112222
42003110331030
532303123300
63225514512
7565423250
oct203247514
971701488
1034426700
1118484320
12b642a38
137194b39
144802260
153050785
hex20d4f4c

34426700 has 144 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 10060800.

The previous prime is 34426697. The next prime is 34426747. The reversal of 34426700 is 762443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34426700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130769 + ... + 131031.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 234426700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34426700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

34426700 is an abundant number, since it is smaller than the sum of its proper divisors (64566964).

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

34426700 is a wasteful number, since it uses less digits than its factorization.

34426700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 34426700 is about 5867.4270340585. The cubic root of 34426700 is about 325.3107875213.

The spelling of 34426700 in words is "thirty-four million, four hundred twenty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 263 275 308 340 350 374 385 425 476 526 550 595 700 748 770 850 935 1052 1100 1190 1309 1315 1540 1700 1841 1870 1925 2380 2618 2630 2893 2975 3682 3740 3850 4471 4675 5236 5260 5786 5950 6545 6575 7364 7700 8942 9205 9350 11572 11900 13090 13150 14465 17884 18410 18700 20251 22355 26180 26300 28930 31297 32725 36820 40502 44710 46025 49181 57860 62594 65450 72325 81004 89420 92050 98362 101255 111775 125188 130900 144650 156485 184100 196724 202510 223550 245905 289300 312970 344267 405020 447100 491810 506275 625940 688534 782425 983620 1012550 1229525 1377068 1564850 1721335 2025100 2459050 3129700 3442670 4918100 6885340 8606675 17213350 34426700