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3420912 = 2431121931
BaseRepresentation
bin1101000011001011110000
320102210121110
431003023300
51333432122
6201153320
741035335
oct15031360
96383543
103420912
111a27200
12118b840
1392a111
1465098c
1547890c
hex3432f0

3420912 has 120 divisors (see below), whose sum is σ = 10554880. Its totient is φ = 950400.

The previous prime is 3420877. The next prime is 3420913. The reversal of 3420912 is 2190243.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110337 + ... + 110367.

Almost surely, 23420912 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 3420912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277440).

3420912 is an abundant number, since it is smaller than the sum of its proper divisors (7133968).

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

3420912 is a wasteful number, since it uses less digits than its factorization.

3420912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3420912 is about 1849.5707610146. The cubic root of 3420912 is about 150.6771165993.

The spelling of 3420912 in words is "three million, four hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 31 33 38 44 48 57 62 66 76 88 93 114 121 124 132 152 176 186 209 228 242 248 264 304 341 363 372 418 456 484 496 528 589 627 682 726 744 836 912 968 1023 1178 1254 1364 1452 1488 1672 1767 1936 2046 2299 2356 2508 2728 2904 3344 3534 3751 4092 4598 4712 5016 5456 5808 6479 6897 7068 7502 8184 9196 9424 10032 11253 12958 13794 14136 15004 16368 18392 19437 22506 25916 27588 28272 30008 36784 38874 45012 51832 55176 60016 71269 77748 90024 103664 110352 142538 155496 180048 213807 285076 310992 427614 570152 855228 1140304 1710456 3420912