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2376038940 = 2235114776597
BaseRepresentation
bin1000110110011111…
…0111101000011100
320010120221021200020
42031213313220130
514331231221230
61031434432140
7112610666142
oct21547675034
96116837606
102376038940
11100a237250
12563892650
132bb349602
141877c3592
15dd8e1810
hex8d9f7a1c

2376038940 has 96 divisors (see below), whose sum is σ = 7412235264. Its totient is φ = 563746560.

The previous prime is 2376038921. The next prime is 2376038971. The reversal of 2376038940 is 498306732.

It is a super-2 number, since 2×23760389402 = 11291122088792647200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2376038892 and 2376038901.

It is a congruent number.

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, 7279 + ... + 69318.

It is an arithmetic number, because the mean of its divisors is an integer number (77210784).

Almost surely, 22376038940 is an apocalyptic number.

2376038940 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 2376038940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706117632).

2376038940 is an abundant number, since it is smaller than the sum of its proper divisors (5036196324).

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

2376038940 is a wasteful number, since it uses less digits than its factorization.

2376038940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76667 (or 76665 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2376038940 is about 48744.6298580674. The cubic root of 2376038940 is about 1334.3953440143.

The spelling of 2376038940 in words is "two billion, three hundred seventy-six million, thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 76597 153194 229791 306388 382985 459582 765970 842567 919164 1148955 1531940 1685134 2297910 2527701 3370268 3600059 4212835 4595820 5055402 7200118 8425670 10110804 10800177 12638505 14400236 16851340 18000295 21600354 25277010 36000590 39600649 43200708 50554020 54000885 72001180 79201298 108001770 118801947 158402596 198003245 216003540 237603894 396006490 475207788 594009735 792012980 1188019470 2376038940