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34728940 = 2253771661
BaseRepresentation
bin1000010001111…
…0101111101100
32102100102011001
42010132233230
532342311230
63240210044
7601122361
oct204365754
972312131
1034728940
1118670404
12b769924
13726c58c
144880468
1530b00ca
hex211ebec

34728940 has 48 divisors (see below), whose sum is σ = 76071744. Its totient is φ = 13305600.

The previous prime is 34728931. The next prime is 34728961. The reversal of 34728940 is 4982743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 34728940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52210 + ... + 52870.

It is an arithmetic number, because the mean of its divisors is an integer number (1584828).

Almost surely, 234728940 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 34728940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035872).

34728940 is an abundant number, since it is smaller than the sum of its proper divisors (41342804).

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

34728940 is a wasteful number, since it uses less digits than its factorization.

34728940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34728940 is about 5893.1265046663. The cubic root of 34728940 is about 326.2600081094.

The spelling of 34728940 in words is "thirty-four million, seven hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 661 710 740 1322 1420 2627 2644 3305 5254 6610 10508 13135 13220 24457 26270 46931 48914 52540 93862 97828 122285 187724 234655 244570 469310 489140 938620 1736447 3472894 6945788 8682235 17364470 34728940