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3390738 = 2313291499
BaseRepresentation
bin1100111011110100010010
320101021012220
430323310102
51332000423
6200401510
740551351
oct14736422
96337186
103390738
111a0656a
121176296
13919470
14643998
1546e9e3
hex33bd12

3390738 has 32 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 1006656.

The previous prime is 3390733. The next prime is 3390743. The reversal of 3390738 is 8370933.

3390738 = T12 + T13 + ... + T272.

It is an interprime number because it is at equal distance from previous prime (3390733) and next prime (3390743).

It is a super-2 number, since 2×33907382 = 22994208369288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3390699 and 3390708.

It is not an unprimeable number, because it can be changed into a prime (3390731) 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, 1513 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 23390738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

3390738 is an abundant number, since it is smaller than the sum of its proper divisors (4169262).

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

3390738 is a wasteful number, since it uses less digits than its factorization.

3390738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3390738 is about 1841.3956663357. The cubic root of 3390738 is about 150.2327940814.

The spelling of 3390738 in words is "three million, three hundred ninety thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 1499 2262 2998 4497 8994 19487 38974 43471 58461 86942 116922 130413 260826 565123 1130246 1695369 3390738