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3472080 = 2435172337
BaseRepresentation
bin1101001111101011010000
320112101210120
431033223100
51342101310
6202230240
741340453
oct15175320
96471716
103472080
111a61697
1211b5380
139474b1
1466549a
15488b70
hex34fad0

3472080 has 160 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 811008.

The previous prime is 3472067. The next prime is 3472153. The reversal of 3472080 is 802743.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3472080.

It is a congruent number.

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, 93822 + ... + 93858.

Almost surely, 23472080 is an apocalyptic number.

3472080 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 3472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

3472080 is an abundant number, since it is smaller than the sum of its proper divisors (8741424).

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

3472080 is a wasteful number, since it uses less digits than its factorization.

3472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3472080 is about 1863.3518186322. The cubic root of 3472080 is about 151.4246485617.

The spelling of 3472080 in words is "three million, four hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 37 40 46 48 51 60 68 69 74 80 85 92 102 111 115 120 136 138 148 170 184 185 204 222 230 240 255 272 276 296 340 345 368 370 391 408 444 460 510 552 555 592 629 680 690 740 782 816 851 888 920 1020 1104 1110 1173 1258 1360 1380 1480 1564 1702 1776 1840 1887 1955 2040 2220 2346 2516 2553 2760 2960 3128 3145 3404 3774 3910 4080 4255 4440 4692 5032 5106 5520 5865 6256 6290 6808 7548 7820 8510 8880 9384 9435 10064 10212 11730 12580 12765 13616 14467 15096 15640 17020 18768 18870 20424 23460 25160 25530 28934 30192 31280 34040 37740 40848 43401 46920 50320 51060 57868 68080 72335 75480 86802 93840 102120 115736 144670 150960 173604 204240 217005 231472 289340 347208 434010 578680 694416 868020 1157360 1736040 3472080