Search a number
-
+
3370740400 = 245279106669
BaseRepresentation
bin1100100011101001…
…0110101010110000
322200220122100120001
43020322112222300
523400402143100
61314250355344
7146346551326
oct31072265260
98626570501
103370740400
11147a771175
127a0a2bb54
1341944cb61
1423d951d16
1514adc7d6a
hexc8e96ab0

3370740400 has 60 divisors (see below), whose sum is σ = 8200789600. Its totient is φ = 1331216640.

The previous prime is 3370740377. The next prime is 3370740419. The reversal of 3370740400 is 40470733.

It is a super-2 number, since 2×33707404002 = 22723781688384320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21735 + ... + 84934.

Almost surely, 23370740400 is an apocalyptic number.

It is an amenable number.

3370740400 is an abundant number, since it is smaller than the sum of its proper divisors (4830049200).

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

3370740400 is a wasteful number, since it uses less digits than its factorization.

3370740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106766 (or 106755 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 3370740400 is about 58058.0778186808. The cubic root of 3370740400 is about 1499.3686824775.

The spelling of 3370740400 in words is "three billion, three hundred seventy million, seven hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1975 3160 3950 6320 7900 15800 31600 106669 213338 426676 533345 853352 1066690 1706704 2133380 2666725 4266760 5333450 8426851 8533520 10666900 16853702 21333800 33707404 42134255 42667600 67414808 84268510 134829616 168537020 210671275 337074040 421342550 674148080 842685100 1685370200 3370740400