Search a number
-
+
34649256432 = 2437891158683
BaseRepresentation
bin100000010001010000…
…011011000111110000
310022102202200121012210
4200101100123013300
51031430202201212
623530113452120
72334432551220
oct402120330760
9108382617183
1034649256432
111377066921a
12686bb71040
13336266a1cb
141969ac8080
15d7bd9b53c
hex81141b1f0

34649256432 has 80 divisors (see below), whose sum is σ = 103447307520. Its totient is φ = 9788545536.

The previous prime is 34649256431. The next prime is 34649256461. The reversal of 34649256432 is 23465294643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34649256431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549438 + ... + 609245.

It is an arithmetic number, because the mean of its divisors is an integer number (1293091344).

Almost surely, 234649256432 is an apocalyptic number.

It is an amenable number.

34649256432 is an abundant number, since it is smaller than the sum of its proper divisors (68798051088).

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

34649256432 is a wasteful number, since it uses less digits than its factorization.

34649256432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158790 (or 1158784 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 34649256432 in words is "thirty-four billion, six hundred forty-nine million, two hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 14952 29904 1158683 2317366 3476049 4634732 6952098 8110781 9269464 13904196 16221562 18538928 24332343 27808392 32443124 48664686 55616784 64886248 97329372 103122787 129772496 194658744 206245574 309368361 389317488 412491148 618736722 721859509 824982296 1237473444 1443719018 1649964592 2165578527 2474946888 2887438036 4331157054 4949893776 5774876072 8662314108 11549752144 17324628216 34649256432