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42734700 = 223252103461
BaseRepresentation
bin1010001100000…
…1010001101100
32222102010222200
42203001101230
541420002300
64123541500
71026144651
oct243012154
988363880
1042734700
1122139238
121238a890
138b13508
145965c28
153b42200
hex28c146c

42734700 has 108 divisors (see below), whose sum is σ = 135543408. Its totient is φ = 11260800.

The previous prime is 42734693. The next prime is 42734717. The reversal of 42734700 is 743724.

42734700 = T179 + T180 + ... + T639.

It is a super-3 number, since 3×427347003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92470 + ... + 92930.

Almost surely, 242734700 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 42734700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67771704).

42734700 is an abundant number, since it is smaller than the sum of its proper divisors (92808708).

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

42734700 is a wasteful number, since it uses less digits than its factorization.

42734700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42734700 is about 6537.1782903635. The cubic root of 42734700 is about 349.6178141128.

It can be divided in two parts, 42734 and 700, that added together give a palindrome (43434).

The spelling of 42734700 in words is "forty-two million, seven hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 461 515 618 900 922 927 1030 1236 1383 1545 1844 1854 2060 2305 2575 2766 3090 3708 4149 4610 4635 5150 5532 6180 6915 7725 8298 9220 9270 10300 11525 13830 15450 16596 18540 20745 23050 23175 27660 30900 34575 41490 46100 46350 47483 69150 82980 92700 94966 103725 138300 142449 189932 207450 237415 284898 414900 427347 474830 569796 712245 854694 949660 1187075 1424490 1709388 2136735 2374150 2848980 3561225 4273470 4748300 7122450 8546940 10683675 14244900 21367350 42734700