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3142322000 = 24534138321
BaseRepresentation
bin1011101101001100…
…0000011101010000
322002222211111102022
42323103000131100
522413413301000
61235450511012
7140604203426
oct27323003520
98088744368
103142322000
111372839034
12738435468
133b102573c
1421b493116
15135d08585
hexbb4c0750

3142322000 has 80 divisors (see below), whose sum is σ = 7783658064. Its totient is φ = 1226240000.

The previous prime is 3142321993. The next prime is 3142322017. The reversal of 3142322000 is 2232413.

It can be written as a sum of positive squares in 8 ways, for example, as 1704698944 + 1437623056 = 41288^2 + 37916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3142322000.

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, 62840 + ... + 101160.

Almost surely, 23142322000 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 3142322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891829032).

3142322000 is an abundant number, since it is smaller than the sum of its proper divisors (4641336064).

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

3142322000 is a wasteful number, since it uses less digits than its factorization.

3142322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38385 (or 38369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3142322000 is about 56056.4180090023. The cubic root of 3142322000 is about 1464.7052177840.

Adding to 3142322000 its reverse (2232413), we get a palindrome (3144554413).

The spelling of 3142322000 in words is "three billion, one hundred forty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 38321 41000 76642 82000 153284 191605 306568 383210 613136 766420 958025 1532840 1571161 1916050 3065680 3142322 3832100 4790125 6284644 7664200 7855805 9580250 12569288 15328400 15711610 19160500 25138576 31423220 38321000 39279025 62846440 76642000 78558050 125692880 157116100 196395125 314232200 392790250 628464400 785580500 1571161000 3142322000