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334722416704 = 2613255632
BaseRepresentation
bin1001101111011110000…
…00101100000001000000
31011222222101021112222121
410313233000230001000
520441002414313304
6413434103014024
733116506412044
oct4675700540100
91158871245877
10334722416704
11119a56094955
1254a55a3a314
13257446a2c00
14122b4832024
158a90bac554
hex4def02c040

334722416704 has 63 divisors (see below), whose sum is σ = 719367819453. Its totient is φ = 154459498752.

The previous prime is 334722416669. The next prime is 334722416731. The reversal of 334722416704 is 407614227433.

The square root of 334722416704 is 578552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49515150400 + 285207266304 = 222520^2 + 534048^2 .

It is a super-2 number, since 2×3347224167042 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60166627 + ... + 60172189.

Almost surely, 2334722416704 is an apocalyptic number.

334722416704 is the 578552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334722416704

334722416704 is an abundant number, since it is smaller than the sum of its proper divisors (384645402749).

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

334722416704 is an frugal number, since it uses more digits than its factorization.

334722416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 334722416704 in words is "three hundred thirty-four billion, seven hundred twenty-two million, four hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 5563 10816 11126 22252 44504 72319 89008 144638 178016 289276 356032 578552 940147 1157104 1880294 2314208 3760588 4628416 7521176 15042352 30084704 30946969 60169408 61893938 123787876 247575752 402310597 495151504 804621194 990303008 1609242388 1980606016 3218484776 5230037761 6436969552 10460075522 12873939104 20920151044 25747878208 41840302088 83680604176 167361208352 334722416704