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34714764 = 2233747977
BaseRepresentation
bin1000010001101…
…1010010001100
32102022200201000
42010123102030
532341333024
63240020300
7601033140
oct204332214
972280630
1034714764
1118660797
12b761690
137265ca6
144879220
1530aacc9
hex211b48c

34714764 has 96 divisors (see below), whose sum is σ = 105154560. Its totient is φ = 9697536.

The previous prime is 34714763. The next prime is 34714781. The reversal of 34714764 is 46741743.

It is a happy number.

It is a super-2 number, since 2×347147642 = 2410229679151392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34714763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35044 + ... + 36020.

It is an arithmetic number, because the mean of its divisors is an integer number (1095360).

Almost surely, 234714764 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 34714764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577280).

34714764 is an abundant number, since it is smaller than the sum of its proper divisors (70439796).

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

34714764 is a wasteful number, since it uses less digits than its factorization.

34714764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 34714764 is about 5891.9236247596. The cubic root of 34714764 is about 326.2156100625.

The spelling of 34714764 in words is "thirty-four million, seven hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 977 987 1269 1316 1692 1954 1974 2538 2931 2961 3908 3948 5076 5862 5922 6839 8793 8883 11724 11844 13678 17586 17766 20517 26379 27356 35172 35532 41034 45919 52758 61551 82068 91838 105516 123102 137757 183676 184653 246204 275514 321433 369306 413271 551028 642866 738612 826542 964299 1239813 1285732 1653084 1928598 2479626 2892897 3857196 4959252 5785794 8678691 11571588 17357382 34714764