Search a number
-
+
122034264 = 233111924329
BaseRepresentation
bin1110100011000…
…01100001011000
322111121222112120
413101201201120
5222220044024
620035341240
73011163012
oct721414130
9274558476
10122034264
1162981170
1234a51820
131c389b31
14122c91b2
15aaa8479
hex7461858

122034264 has 64 divisors (see below), whose sum is σ = 350352000. Its totient is φ = 35032320.

The previous prime is 122034247. The next prime is 122034287. The reversal of 122034264 is 462430221.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7149 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (5474250).

Almost surely, 2122034264 is an apocalyptic number.

It is an amenable number.

122034264 is an abundant number, since it is smaller than the sum of its proper divisors (228317736).

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

122034264 is a wasteful number, since it uses less digits than its factorization.

122034264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24368 (or 24364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 122034264 is about 11046.9119666991. The cubic root of 122034264 is about 496.0139932750.

Adding to 122034264 its reverse (462430221), we get a palindrome (584464485).

It can be divided in two parts, 122034 and 264, that multiplied together give a square (32216976 = 56762).

The spelling of 122034264 in words is "one hundred twenty-two million, thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 24329 48658 72987 97316 145974 194632 267619 291948 462251 535238 583896 802857 924502 1070476 1386753 1605714 1849004 2140952 2773506 3211428 3698008 5084761 5547012 6422856 10169522 11094024 15254283 20339044 30508566 40678088 61017132 122034264