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2321742540 = 2235138833371
BaseRepresentation
bin1000101001100010…
…1111101011001100
312222210202202000110
42022120233223030
514223331230130
61022215000020
7111351325455
oct21230575314
95883682013
102321742540
11a91621597
12549669010
132b0018770
141804cc12c
15d8c68ab0
hex8a62facc

2321742540 has 96 divisors (see below), whose sum is σ = 7010954496. Its totient is φ = 570689280.

The previous prime is 2321742503. The next prime is 2321742583. The reversal of 2321742540 is 452471232.

2321742540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2321742498 and 2321742507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687055 + ... + 690425.

It is an arithmetic number, because the mean of its divisors is an integer number (73030776).

Almost surely, 22321742540 is an apocalyptic number.

2321742540 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 2321742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505477248).

2321742540 is an abundant number, since it is smaller than the sum of its proper divisors (4689211956).

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

2321742540 is a wasteful number, since it uses less digits than its factorization.

2321742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2321742540 is about 48184.4636786589. The cubic root of 2321742540 is about 1324.1525450753.

The spelling of 2321742540 in words is "two billion, three hundred twenty-one million, seven hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 883 1766 2649 3371 3532 4415 5298 6742 8830 10113 10596 11479 13245 13484 16855 17660 20226 22958 26490 33710 34437 40452 43823 45916 50565 52980 57395 67420 68874 87646 101130 114790 131469 137748 172185 175292 202260 219115 229580 262938 344370 438230 525876 657345 688740 876460 1314690 2629380 2976593 5953186 8929779 11906372 14882965 17859558 29765930 35719116 38695709 44648895 59531860 77391418 89297790 116087127 154782836 178595580 193478545 232174254 386957090 464348508 580435635 773914180 1160871270 2321742540