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233432940 = 223513223021
BaseRepresentation
bin11011110100111…
…10011101101100
3121021020121210110
431322132131230
5434224323230
635055140020
75533101336
oct1572363554
9537217713
10233432940
1110a848694
1266214610
1339491a00
1423006456
15157604b0
hexde9e76c

233432940 has 72 divisors (see below), whose sum is σ = 707788368. Its totient is φ = 57457920.

The previous prime is 233432923. The next prime is 233432951. The reversal of 233432940 is 49234332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233432898 and 233432907.

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, 1371 + ... + 21650.

It is an arithmetic number, because the mean of its divisors is an integer number (9830394).

Almost surely, 2233432940 is an apocalyptic number.

233432940 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 233432940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353894184).

233432940 is an abundant number, since it is smaller than the sum of its proper divisors (474355428).

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

233432940 is a wasteful number, since it uses less digits than its factorization.

233432940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23059 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 233432940 is about 15278.5123621379. The cubic root of 233432940 is about 615.7258400782.

The spelling of 233432940 in words is "two hundred thirty-three million, four hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 23021 46042 69063 92084 115105 138126 230210 276252 299273 345315 460420 598546 690630 897819 1197092 1381260 1496365 1795638 2992730 3591276 3890549 4489095 5985460 7781098 8978190 11671647 15562196 17956380 19452745 23343294 38905490 46686588 58358235 77810980 116716470 233432940