Search a number
-
+
234152373420 = 223257185835217
BaseRepresentation
bin1101101000010010010…
…0011010110010101100
3211101101111000000100200
43122010210122302230
512314021001422140
6255322413553500
722626341222550
oct3320444326254
9741344000320
10234152373420
1190337a018a9
12394691a5890
1319107a55c64
14b493bc5860
1561568c1030
hex368491acac

234152373420 has 72 divisors (see below), whose sum is σ = 811728232224. Its totient is φ = 53520542208.

The previous prime is 234152373397. The next prime is 234152373437. The reversal of 234152373420 is 24373251432.

234152373420 is a `hidden beast` number, since 2 + 3 + 41 + 523 + 73 + 4 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92916349 + ... + 92918868.

Almost surely, 2234152373420 is an apocalyptic number.

234152373420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234152373420 is an abundant number, since it is smaller than the sum of its proper divisors (577575858804).

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

234152373420 is a wasteful number, since it uses less digits than its factorization.

234152373420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185835239 (or 185835234 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 234152373420 in words is "two hundred thirty-four billion, one hundred fifty-two million, three hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 185835217 371670434 557505651 743340868 929176085 1115011302 1300846519 1672516953 1858352170 2230022604 2601693038 2787528255 3345033906 3716704340 3902539557 5203386076 5575056510 6504232595 6690067812 7805079114 8362584765 11150113020 11707618671 13008465190 15610158228 16725169530 19512697785 23415237342 26016930380 33450339060 39025395570 46830474684 58538093355 78050791140 117076186710 234152373420