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2074323456 = 29321014457
BaseRepresentation
bin111101110100011…
…1010101000000000
312100120012112211200
41323220322220000
513222011322311
6541455541200
7102255313152
oct17350725000
95316175750
102074323456
119749a0a07
1249a82a800
1327099aa3a
141596c4ad2
15c2194556
hex7ba3aa00

2074323456 has 120 divisors (see below), whose sum is σ = 6047268084. Its totient is φ = 684441600.

The previous prime is 2074323451. The next prime is 2074323463. The reversal of 2074323456 is 6543234702.

It can be written as a sum of positive squares in 2 ways, for example, as 1764000000 + 310323456 = 42000^2 + 17616^2 .

It is a super-2 number, since 2×20743234562 = 8605635600223567872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2074323456.

It is not an unprimeable number, because it can be changed into a prime (2074323451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463180 + ... + 467636.

Almost surely, 22074323456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023634042).

2074323456 is an abundant number, since it is smaller than the sum of its proper divisors (3972944628).

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

2074323456 is a wasteful number, since it uses less digits than its factorization.

2074323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2074323456 is about 45544.7412551658. The cubic root of 2074323456 is about 1275.3385656827.

The spelling of 2074323456 in words is "two billion, seventy-four million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1616 1818 2304 2424 3232 3636 4457 4608 4848 6464 7272 8914 9696 12928 13371 14544 17828 19392 25856 26742 29088 35656 38784 40113 51712 53484 58176 71312 77568 80226 106968 116352 142624 155136 160452 213936 232704 285248 320904 427872 450157 465408 570496 641808 855744 900314 1140992 1283616 1350471 1711488 1800628 2281984 2567232 2700942 3422976 3601256 4051413 5134464 5401884 6845952 7202512 8102826 10268928 10803768 14405024 16205652 20537856 21607536 28810048 32411304 43215072 57620096 64822608 86430144 115240192 129645216 172860288 230480384 259290432 345720576 518580864 691441152 1037161728 2074323456