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34913700 = 22335267193
BaseRepresentation
bin1000010100101…
…1110110100100
32102200210121000
42011023312210
532414214300
63244153300
7602522133
oct205136644
972623530
1034913700
11187871a8
12b838830
1373056c3
1448cb91a
1530e9c00
hex214bda4

34913700 has 144 divisors (see below), whose sum is σ = 114506560. Its totient is φ = 9123840.

The previous prime is 34913689. The next prime is 34913713. The reversal of 34913700 is 731943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 180804 + ... + 180996.

Almost surely, 234913700 is an apocalyptic number.

34913700 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 34913700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253280).

34913700 is an abundant number, since it is smaller than the sum of its proper divisors (79592860).

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

34913700 is a wasteful number, since it uses less digits than its factorization.

34913700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 34913700 is about 5908.7816002963. The cubic root of 34913700 is about 326.8375592485.

The spelling of 34913700 in words is "thirty-four million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 193 201 225 268 270 300 335 386 402 450 540 579 603 670 675 772 804 900 965 1005 1158 1206 1340 1350 1675 1737 1809 1930 2010 2316 2412 2700 2895 3015 3350 3474 3618 3860 4020 4825 5025 5211 5790 6030 6700 6948 7236 8685 9045 9650 10050 10422 11580 12060 12931 14475 15075 17370 18090 19300 20100 20844 25862 26055 28950 30150 34740 36180 38793 43425 45225 51724 52110 57900 60300 64655 77586 86850 90450 104220 116379 129310 130275 155172 173700 180900 193965 232758 258620 260550 323275 349137 387930 465516 521100 581895 646550 698274 775860 969825 1163790 1293100 1396548 1745685 1939650 2327580 2909475 3491370 3879300 5818950 6982740 8728425 11637900 17456850 34913700