Search a number
-
+
134362320 = 243523101241
BaseRepresentation
bin10000000001000…
…11010011010000
3100100211022110020
420000203103100
5233344043240
621155503440
73221026611
oct1000432320
9310738406
10134362320
1169931444
1238bb7b80
1321ab5241
1413bb7c08
15bbe10d0
hex80234d0

134362320 has 160 divisors (see below), whose sum is σ = 440757504. Its totient is φ = 33792000.

The previous prime is 134362303. The next prime is 134362351. The reversal of 134362320 is 23263431.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

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, 557400 + ... + 557640.

Almost surely, 2134362320 is an apocalyptic number.

134362320 is a gapful number since it is divisible by the number (10) 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 134362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220378752).

134362320 is an abundant number, since it is smaller than the sum of its proper divisors (306395184).

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

134362320 is a wasteful number, since it uses less digits than its factorization.

134362320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 134362320 is about 11591.4761786409. The cubic root of 134362320 is about 512.1837922520.

The spelling of 134362320 in words is "one hundred thirty-four million, three hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 101 115 120 138 184 202 230 240 241 276 303 345 368 404 460 482 505 552 606 690 723 808 920 964 1010 1104 1205 1212 1380 1446 1515 1616 1840 1928 2020 2323 2410 2424 2760 2892 3030 3615 3856 4040 4646 4820 4848 5520 5543 5784 6060 6969 7230 8080 9292 9640 11086 11568 11615 12120 13938 14460 16629 18584 19280 22172 23230 24240 24341 27715 27876 28920 33258 34845 37168 44344 46460 48682 55430 55752 57840 66516 69690 73023 83145 88688 92920 97364 110860 111504 121705 133032 139380 146046 166290 185840 194728 221720 243410 266064 278760 292092 332580 365115 389456 443440 486820 557520 559843 584184 665160 730230 973640 1119686 1168368 1330320 1460460 1679529 1947280 2239372 2799215 2920920 3359058 4478744 5598430 5841840 6718116 8397645 8957488 11196860 13436232 16795290 22393720 26872464 33590580 44787440 67181160 134362320