Search a number
-
+
329777140 = 225711214141
BaseRepresentation
bin10011101001111…
…111111111110100
3211222112102012011
4103221333333310
51133410332030
652420134004
711113026250
oct2351777764
9758472164
10329777140
1115a1724a0
1292537304
1353425504
1431b25260
151de41b2a
hex13a7fff4

329777140 has 48 divisors (see below), whose sum is σ = 863420544. Its totient is φ = 102787200.

The previous prime is 329777131. The next prime is 329777153. The reversal of 329777140 is 41777923.

It is a junction number, because it is equal to n+sod(n) for n = 329777093 and 329777102.

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, 105531 + ... + 108610.

It is an arithmetic number, because the mean of its divisors is an integer number (17987928).

Almost surely, 2329777140 is an apocalyptic number.

It is an amenable number.

329777140 is an abundant number, since it is smaller than the sum of its proper divisors (533643404).

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

329777140 is a wasteful number, since it uses less digits than its factorization.

329777140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214168 (or 214166 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 329777140 is about 18159.7670689907. The cubic root of 329777140 is about 690.8867266642.

The spelling of 329777140 in words is "three hundred twenty-nine million, seven hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 214141 428282 856564 1070705 1498987 2141410 2355551 2997974 4282820 4711102 5995948 7494935 9422204 11777755 14989870 16488857 23555510 29979740 32977714 47111020 65955428 82444285 164888570 329777140