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3374040 = 233531907
BaseRepresentation
bin1100110111101111011000
320100102022110
430313233120
51330432130
6200152320
740451565
oct14675730
96312273
103374040
1119a4a6a
1211686a0
13911997
1463b86c
15469ab0
hex337bd8

3374040 has 64 divisors (see below), whose sum is σ = 10460160. Its totient is φ = 869760.

The previous prime is 3374029. The next prime is 3374047. The reversal of 3374040 is 404733.

It is a super-2 number, since 2×33740402 = 22768291843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3373998 and 3374016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374047) 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, 3267 + ... + 4173.

It is an arithmetic number, because the mean of its divisors is an integer number (163440).

Almost surely, 23374040 is an apocalyptic number.

3374040 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 3374040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230080).

3374040 is an abundant number, since it is smaller than the sum of its proper divisors (7086120).

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

3374040 is a wasteful number, since it uses less digits than its factorization.

3374040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3374040 is about 1836.8560095990. The cubic root of 3374040 is about 149.9857764291.

Adding to 3374040 its reverse (404733), we get a palindrome (3778773).

The spelling of 3374040 in words is "three million, three hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 907 930 1240 1814 1860 2721 3628 3720 4535 5442 7256 9070 10884 13605 18140 21768 27210 28117 36280 54420 56234 84351 108840 112468 140585 168702 224936 281170 337404 421755 562340 674808 843510 1124680 1687020 3374040