Search a number
-
+
780340392 = 233413175449
BaseRepresentation
bin101110100000110…
…000110010101000
32000101100101210000
4232200300302220
53044231343032
6205233223000
725223532606
oct5640606250
92011311700
10780340392
11370533317
12199401a60
13c588b6a0
14758cc876
1548791e7c
hex2e830ca8

780340392 has 160 divisors (see below), whose sum is σ = 2492721000. Its totient is φ = 225939456.

The previous prime is 780340391. The next prime is 780340403. The reversal of 780340392 is 293043087.

It can be written as a sum of positive squares in 4 ways, for example, as 479872836 + 300467556 = 21906^2 + 17334^2 .

It is a super-2 number, since 2×7803403922 = 1217862254773427328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (780340391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140484 + ... + 145932.

Almost surely, 2780340392 is an apocalyptic number.

780340392 is a gapful number since it is divisible by the number (72) 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 780340392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246360500).

780340392 is an abundant number, since it is smaller than the sum of its proper divisors (1712380608).

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

780340392 is a wasteful number, since it uses less digits than its factorization.

780340392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 780340392 is about 27934.5734171832. The cubic root of 780340392 is about 920.6502932312.

The spelling of 780340392 in words is "seven hundred eighty million, three hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5449 5508 5967 7956 8424 10898 11016 11934 15912 16347 17901 21796 23868 32694 35802 43592 47736 49041 65388 70837 71604 92633 98082 130776 141674 143208 147123 185266 196164 212511 277899 283348 294246 370532 392328 425022 441369 555798 566696 588492 637533 741064 833697 850044 882738 1111596 1176984 1204229 1275066 1667394 1700088 1765476 1912599 2223192 2408458 2501091 2550132 3334788 3530952 3612687 3825198 4816916 5002182 5100264 5737797 6669576 7225374 7503273 7650396 9633832 10004364 10838061 11475594 14450748 15006546 15300792 20008728 21676122 22951188 28901496 30013092 32514183 43352244 45902376 60026184 65028366 86704488 97542549 130056732 195085098 260113464 390170196 780340392