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3402972 = 2237389
BaseRepresentation
bin1100111110110011011100
320101220000000
430332303130
51332343342
6200534300
740632126
oct14766334
96356000
103402972
111a14781
121181390
13921bc1
14648216
1547344c
hex33ecdc

3402972 has 48 divisors (see below), whose sum is σ = 8954400. Its totient is φ = 1131408.

The previous prime is 3402967. The next prime is 3402979. The reversal of 3402972 is 2792043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402979) 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, 8554 + ... + 8942.

It is an arithmetic number, because the mean of its divisors is an integer number (186550).

Almost surely, 23402972 is an apocalyptic number.

3402972 is the 1167-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477200).

3402972 is an abundant number, since it is smaller than the sum of its proper divisors (5551428).

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

3402972 is an equidigital number, since it uses as much as digits as its factorization.

3402972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3402972 is about 1844.7146120742. The cubic root of 3402972 is about 150.4132603934.

The spelling of 3402972 in words is "three million, four hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 389 486 729 778 972 1167 1458 1556 2187 2334 2916 3501 4374 4668 7002 8748 10503 14004 21006 31509 42012 63018 94527 126036 189054 283581 378108 567162 850743 1134324 1701486 3402972