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380294922240 = 219365199
BaseRepresentation
bin1011000100010110101…
…10000000000000000000
31100100121101222201000000
411202023112000000000
522212321000002430
6450412144000000
736322030334502
oct5421326000000
91310541881000
10380294922240
11137311629872
1261854000000
1329b280a420c
141459912bd72
159d5b9d6e60
hex588b580000

380294922240 has 560 divisors, whose sum is σ = 1375310970000. Its totient is φ = 100902371328.

The previous prime is 380294922229. The next prime is 380294922253. The reversal of 380294922240 is 42229492083.

380294922240 is a `hidden beast` number, since 3 + 80 + 29 + 492 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1911029661 + ... + 1911029859.

Almost surely, 2380294922240 is an apocalyptic number.

380294922240 is a gapful number since it is divisible by the number (30) 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 380294922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687655485000).

380294922240 is an abundant number, since it is smaller than the sum of its proper divisors (995016047760).

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

380294922240 is an frugal number, since it uses more digits than its factorization.

380294922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 380294922240 in words is "three hundred eighty billion, two hundred ninety-four million, nine hundred twenty-two thousand, two hundred forty".