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3468690 = 233529443
BaseRepresentation
bin1101001110110110010010
320112020011000
431032312102
51341444230
6202202430
741324541
oct15166622
96466130
103468690
111a5a095
1211b3416
13945aa4
14664158
15487b60
hex34ed92

3468690 has 64 divisors (see below), whose sum is σ = 9590400. Its totient is φ = 891072.

The previous prime is 3468679. The next prime is 3468701. The reversal of 3468690 is 968643.

It is an interprime number because it is at equal distance from previous prime (3468679) and next prime (3468701).

It is a super-2 number, since 2×34686902 = 24063620632200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7609 + ... + 8051.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

Almost surely, 23468690 is an apocalyptic number.

3468690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795200).

3468690 is an abundant number, since it is smaller than the sum of its proper divisors (6121710).

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

3468690 is a wasteful number, since it uses less digits than its factorization.

3468690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3468690 is about 1862.4419454039. The cubic root of 3468690 is about 151.3753508579.

The spelling of 3468690 in words is "three million, four hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 443 522 783 870 886 1305 1329 1566 2215 2610 2658 3915 3987 4430 6645 7830 7974 11961 12847 13290 19935 23922 25694 38541 39870 59805 64235 77082 115623 119610 128470 192705 231246 346869 385410 578115 693738 1156230 1734345 3468690