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3144904740 = 22325313731511
BaseRepresentation
bin1011101101110011…
…0111000000100100
322010011200201021100
42323130313000210
522420043422430
61240022120100
7140635151325
oct27334670044
98104621240
103144904740
11137424252a
12739280030
133b171b1a3
1421b96644c
15136168960
hexbb737024

3144904740 has 144 divisors (see below), whose sum is σ = 9880206336. Its totient is φ = 808876800.

The previous prime is 3144904691. The next prime is 3144904787. The reversal of 3144904740 is 474094413.

3144904740 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3144904695 and 3144904704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080585 + ... + 2082095.

It is an arithmetic number, because the mean of its divisors is an integer number (68612544).

Almost surely, 23144904740 is an apocalyptic number.

3144904740 is a gapful number since it is divisible by the number (30) 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 3144904740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940103168).

3144904740 is an abundant number, since it is smaller than the sum of its proper divisors (6735301596).

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

3144904740 is a wasteful number, since it uses less digits than its factorization.

3144904740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3144904740 is about 56079.4502469487. The cubic root of 3144904740 is about 1465.1063984818.

The spelling of 3144904740 in words is "three billion, one hundred forty-four million, nine hundred four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 373 465 558 620 746 930 1116 1119 1395 1492 1511 1860 1865 2238 2790 3022 3357 3730 4476 4533 5580 5595 6044 6714 7460 7555 9066 11190 11563 13428 13599 15110 16785 18132 22380 22665 23126 27198 30220 33570 34689 45330 46252 46841 54396 57815 67140 67995 69378 90660 93682 104067 115630 135990 138756 140523 173445 187364 208134 231260 234205 271980 281046 346890 416268 421569 468410 520335 562092 563603 693780 702615 843138 936820 1040670 1127206 1405230 1686276 1690809 2081340 2107845 2254412 2810460 2818015 3381618 4215690 5072427 5636030 6763236 8431380 8454045 10144854 11272060 16908090 17471693 20289708 25362135 33816180 34943386 50724270 52415079 69886772 87358465 101448540 104830158 157245237 174716930 209660316 262075395 314490474 349433860 524150790 628980948 786226185 1048301580 1572452370 3144904740