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358420080 = 24354333449
BaseRepresentation
bin10101010111010…
…000111001110000
3220222102121220210
4111113100321300
51213223420310
655322104120
711611343334
oct2527207160
9828377823
10358420080
11174356347
12a004b040
13593438b5
143585d7c4
15216ed820
hex155d0e70

358420080 has 80 divisors (see below), whose sum is σ = 1113991200. Its totient is φ = 95330304.

The previous prime is 358420043. The next prime is 358420091. The reversal of 358420080 is 80024853.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 102196 + ... + 105644.

It is an arithmetic number, because the mean of its divisors is an integer number (13924890).

Almost surely, 2358420080 is an apocalyptic number.

358420080 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 358420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556995600).

358420080 is an abundant number, since it is smaller than the sum of its proper divisors (755571120).

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

358420080 is a wasteful number, since it uses less digits than its factorization.

358420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 358420080 is about 18931.9856327856. The cubic root of 358420080 is about 710.3364668549.

The spelling of 358420080 in words is "three hundred fifty-eight million, four hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 866 1299 1732 2165 2598 3449 3464 4330 5196 6495 6898 6928 8660 10347 10392 12990 13796 17245 17320 20694 20784 25980 27592 34490 34640 41388 51735 51960 55184 68980 82776 103470 103920 137960 165552 206940 275920 413880 827760 1493417 2986834 4480251 5973668 7467085 8960502 11947336 14934170 17921004 22401255 23894672 29868340 35842008 44802510 59736680 71684016 89605020 119473360 179210040 358420080