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234772380 = 2232517731051
BaseRepresentation
bin11011111111001…
…01011110011100
3121100202200011100
431333211132130
5440100204010
635143553100
75550350403
oct1577453634
9540680140
10234772380
11110582a67
126675b790
133984058b
142327463a
15159272c0
hexdfe579c

234772380 has 144 divisors (see below), whose sum is σ = 765090144. Its totient is φ = 58060800.

The previous prime is 234772337. The next prime is 234772399. The reversal of 234772380 is 83277432.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222855 + ... + 223905.

It is an arithmetic number, because the mean of its divisors is an integer number (5313126).

Almost surely, 2234772380 is an apocalyptic number.

234772380 is a gapful number since it is divisible by the number (20) 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 234772380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382545072).

234772380 is an abundant number, since it is smaller than the sum of its proper divisors (530317764).

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

234772380 is a wasteful number, since it uses less digits than its factorization.

234772380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 234772380 is about 15322.2837723363. The cubic root of 234772380 is about 616.9012745835.

The spelling of 234772380 in words is "two hundred thirty-four million, seven hundred seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 73 85 90 102 146 153 170 180 204 219 255 292 306 340 365 438 510 612 657 730 765 876 1020 1051 1095 1241 1314 1460 1530 2102 2190 2482 2628 3060 3153 3285 3723 4204 4380 4964 5255 6205 6306 6570 7446 9459 10510 11169 12410 12612 13140 14892 15765 17867 18615 18918 21020 22338 24820 31530 35734 37230 37836 44676 47295 53601 55845 63060 71468 74460 76723 89335 94590 107202 111690 153446 160803 178670 189180 214404 223380 230169 268005 306892 321606 357340 383615 460338 536010 643212 690507 767230 804015 920676 1072020 1150845 1304291 1381014 1534460 1608030 2301690 2608582 2762028 3216060 3452535 3912873 4603380 5217164 6521455 6905070 7825746 11738619 13042910 13810140 15651492 19564365 23477238 26085820 39128730 46954476 58693095 78257460 117386190 234772380