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340842816 = 2634371777
BaseRepresentation
bin10100010100001…
…101100101000000
3212202100121110000
4110110031211000
51144223432231
653453240000
711306054556
oct2424154500
9782317400
10340842816
11165440286
1296193000
13557cb152
14333a5bd6
151edca6e6
hex1450d940

340842816 has 140 divisors (see below), whose sum is σ = 1038255988. Its totient is φ = 110481408.

The previous prime is 340842797. The next prime is 340842833. The reversal of 340842816 is 618248043.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 94478400 = 15696^2 + 9720^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190920 + ... + 192696.

Almost surely, 2340842816 is an apocalyptic number.

340842816 is a gapful number since it is divisible by the number (36) 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 340842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519127994).

340842816 is an abundant number, since it is smaller than the sum of its proper divisors (697413172).

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

340842816 is a wasteful number, since it uses less digits than its factorization.

340842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 340842816 is about 18461.9288266421. The cubic root of 340842816 is about 698.5294407050.

The spelling of 340842816 in words is "three hundred forty million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 432 444 576 592 648 666 864 888 999 1184 1296 1332 1728 1776 1777 1998 2368 2592 2664 2997 3552 3554 3996 5184 5328 5331 5994 7104 7108 7992 10656 10662 11988 14216 15984 15993 21312 21324 23976 28432 31968 31986 42648 47952 47979 56864 63936 63972 65749 85296 95904 95958 113728 127944 131498 143937 170592 191808 191916 197247 255888 262996 287874 341184 383832 394494 511776 525992 575748 591741 767664 788988 1023552 1051984 1151496 1183482 1535328 1577976 1775223 2103968 2302992 2366964 3070656 3155952 3550446 4207936 4605984 4733928 5325669 6311904 7100892 9211968 9467856 10651338 12623808 14201784 18935712 21302676 28403568 37871424 42605352 56807136 85210704 113614272 170421408 340842816