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34912740 = 2235619539
BaseRepresentation
bin1000010100101…
…1100111100100
32102200202021110
42011023213210
532414201430
63244145020
7602516262
oct205134744
972622243
1034912740
1118786505
12b838170
137305135
1448cb432
1530e97b0
hex214b9e4

34912740 has 48 divisors (see below), whose sum is σ = 99368640. Its totient is φ = 9156480.

The previous prime is 34912733. The next prime is 34912741. The reversal of 34912740 is 4721943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34912698 and 34912707.

It is not an unprimeable number, because it can be changed into a prime (34912741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 8429.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 234912740 is an apocalyptic number.

34912740 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 34912740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49684320).

34912740 is an abundant number, since it is smaller than the sum of its proper divisors (64455900).

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

34912740 is a wasteful number, since it uses less digits than its factorization.

34912740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9612 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34912740 is about 5908.7003647164. The cubic root of 34912740 is about 326.8345636056.

The spelling of 34912740 in words is "thirty-four million, nine hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 9539 19078 28617 38156 47695 57234 95390 114468 143085 190780 286170 572340 581879 1163758 1745637 2327516 2909395 3491274 5818790 6982548 8728185 11637580 17456370 34912740