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3414972 = 2231141631
BaseRepresentation
bin1101000001101110111100
320102111110110
431001232330
51333234342
6201110020
741012121
oct15015674
96374413
103414972
111a227a0
121188310
139274c2
1464c748
15476c9c
hex341bbc

3414972 has 48 divisors (see below), whose sum is σ = 8918784. Its totient is φ = 1008000.

The previous prime is 3414947. The next prime is 3414997. The reversal of 3414972 is 2794143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3414947) and next prime (3414997).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097 + ... + 5727.

It is an arithmetic number, because the mean of its divisors is an integer number (185808).

Almost surely, 23414972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459392).

3414972 is an abundant number, since it is smaller than the sum of its proper divisors (5503812).

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

3414972 is a wasteful number, since it uses less digits than its factorization.

3414972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3414972 is about 1847.9642853692. The cubic root of 3414972 is about 150.5898552096.

The spelling of 3414972 in words is "three million, four hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 631 902 1262 1353 1804 1893 2524 2706 3786 5412 6941 7572 13882 20823 25871 27764 41646 51742 77613 83292 103484 155226 284581 310452 569162 853743 1138324 1707486 3414972