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2074105344 = 29331431013
BaseRepresentation
bin111101110100000…
…0101011000000000
312100112210110122110
41323220011120000
513221432332334
6541451135320
7102253414233
oct17350053000
95315713573
102074105344
11974862053
1249a744540
1327092268c
1415966941a
15c214eae9
hex7ba05600

2074105344 has 160 divisors (see below), whose sum is σ = 5842197504. Its totient is φ = 652861440.

The previous prime is 2074105331. The next prime is 2074105361. The reversal of 2074105344 is 4435014702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046982 + ... + 2047994.

Almost surely, 22074105344 is an apocalyptic number.

2074105344 is a gapful number since it is divisible by the number (24) 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 2074105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921098752).

2074105344 is an abundant number, since it is smaller than the sum of its proper divisors (3768092160).

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

2074105344 is a wasteful number, since it uses less digits than its factorization.

2074105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1092 counting only the distinct ones).

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

The square root of 2074105344 is about 45542.3467116046. The cubic root of 2074105344 is about 1275.2938641369.

The spelling of 2074105344 in words is "two billion, seventy-four million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 172 186 192 248 256 258 344 372 384 496 512 516 688 744 768 992 1013 1032 1333 1376 1488 1536 1984 2026 2064 2666 2752 2976 3039 3968 3999 4052 4128 5332 5504 5952 6078 7936 7998 8104 8256 10664 11008 11904 12156 15872 15996 16208 16512 21328 22016 23808 24312 31403 31992 32416 33024 42656 43559 47616 48624 62806 63984 64832 66048 85312 87118 94209 97248 125612 127968 129664 130677 170624 174236 188418 194496 251224 255936 259328 261354 341248 348472 376836 388992 502448 511872 518656 522708 682496 696944 753672 777984 1004896 1023744 1045416 1350329 1393888 1507344 1555968 2009792 2047488 2090832 2700658 2787776 3014688 4019584 4050987 4181664 5401316 5575552 6029376 8039168 8101974 8363328 10802632 11151104 12058752 16078336 16203948 16726656 21605264 22302208 24117504 32407896 33453312 43210528 48235008 64815792 66906624 86421056 129631584 172842112 259263168 345684224 518526336 691368448 1037052672 2074105344