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34793316 = 2232966481
BaseRepresentation
bin1000010010111…
…0011101100100
32102110200110100
42010232131210
532401341231
63241424100
7601511145
oct204563544
972420410
1034793316
1118704808
12b79b030
13729297c
144899acc
1530c41e6
hex212e764

34793316 has 18 divisors (see below), whose sum is σ = 87949862. Its totient is φ = 11597760.

The previous prime is 34793309. The next prime is 34793323. The reversal of 34793316 is 61339743.

It is an interprime number because it is at equal distance from previous prime (34793309) and next prime (34793323).

It can be written as a sum of positive squares in only one way, i.e., 29484900 + 5308416 = 5430^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 966481 = 34793316 / (3 + 4 + 7 + 9 + 3 + 3 + 1 + 6).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 483205 + ... + 483276.

Almost surely, 234793316 is an apocalyptic number.

34793316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34793316 is an abundant number, since it is smaller than the sum of its proper divisors (53156546).

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

34793316 is a wasteful number, since it uses less digits than its factorization.

34793316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966491 (or 966486 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 34793316 is about 5898.5859322383. The cubic root of 34793316 is about 326.4614764898.

The spelling of 34793316 in words is "thirty-four million, seven hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 966481 1932962 2899443 3865924 5798886 8698329 11597772 17396658 34793316