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34214796 = 223271112343
BaseRepresentation
bin1000001010000…
…1001110001100
32101101021212200
42002201032030
532224333141
63221201500
7563551410
oct202411614
971337780
1034214796
111834a0a0
12b560290
13711c555
144788d40
15300cab6
hex20a138c

34214796 has 72 divisors (see below), whose sum is σ = 107837184. Its totient is φ = 8886240.

The previous prime is 34214779. The next prime is 34214797. The reversal of 34214796 is 69741243.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34214796.

It is not an unprimeable number, because it can be changed into a prime (34214797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3400 + ... + 8943.

Almost surely, 234214796 is an apocalyptic number.

34214796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34214796 is an abundant number, since it is smaller than the sum of its proper divisors (73622388).

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

34214796 is a wasteful number, since it uses less digits than its factorization.

34214796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12366 counting only the distinct ones).

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

The square root of 34214796 is about 5849.3415014000. The cubic root of 34214796 is about 324.6419599465.

It can be divided in two parts, 342147 and 96, that added together give a palindrome (342243).

The spelling of 34214796 in words is "thirty-four million, two hundred fourteen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 12343 24686 37029 49372 74058 86401 111087 135773 148116 172802 222174 259203 271546 345604 407319 444348 518406 543092 777609 814638 950411 1036812 1221957 1555218 1629276 1900822 2443914 2851233 3110436 3801644 4887828 5702466 8553699 11404932 17107398 34214796