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234154340 = 22572337709
BaseRepresentation
bin11011111010011…
…10100101100100
3121022121021100222
431331032211210
5434420414330
635122423512
75542164500
oct1575164544
9538537328
10234154340
111101a0692
1266501b98
1339685184
1423153300
15158540e5
hexdf4e964

234154340 has 72 divisors (see below), whose sum is σ = 574512120. Its totient is φ = 79930368.

The previous prime is 234154337. The next prime is 234154387. The reversal of 234154340 is 43451432.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 234151204 = 56^2 + 15302^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329906 + ... + 330614.

It is an arithmetic number, because the mean of its divisors is an integer number (7979335).

Almost surely, 2234154340 is an apocalyptic number.

234154340 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 234154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287256060).

234154340 is an abundant number, since it is smaller than the sum of its proper divisors (340357780).

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

234154340 is a wasteful number, since it uses less digits than its factorization.

234154340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 234154340 is about 15302.1024699222. The cubic root of 234154340 is about 616.3594665012.

The spelling of 234154340 in words is "two hundred thirty-four million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 337 490 674 709 980 1348 1418 1685 2359 2836 3370 3545 4718 4963 6740 7090 9436 9926 11795 14180 16513 19852 23590 24815 33026 34741 47180 49630 66052 69482 82565 99260 138964 165130 173705 238933 330260 347410 477866 694820 955732 1194665 1672531 2389330 3345062 4778660 6690124 8362655 11707717 16725310 23415434 33450620 46830868 58538585 117077170 234154340