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1950734416 = 24294204169
BaseRepresentation
bin111010001000101…
…1101100001010000
312000221122120112211
41310101131201100
512443342000131
6521323001504
766224653231
oct16421354120
95027576484
101950734416
11911158704
12465369294
132511b8327
14147113088
15b63d05b1
hex7445d850

1950734416 has 20 divisors (see below), whose sum is σ = 3909878100. Its totient is φ = 941733632.

The previous prime is 1950734399. The next prime is 1950734417. The reversal of 1950734416 is 6144370591.

It can be written as a sum of positive squares in 2 ways, for example, as 1374926400 + 575808016 = 37080^2 + 23996^2 .

It is a super-4 number, since 4×19507344164 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950734417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2101621 + ... + 2102548.

It is an arithmetic number, because the mean of its divisors is an integer number (195493905).

Almost surely, 21950734416 is an apocalyptic number.

1950734416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1950734416 is an abundant number, since it is smaller than the sum of its proper divisors (1959143684).

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

1950734416 is a wasteful number, since it uses less digits than its factorization.

1950734416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204206 (or 4204200 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1950734416 is about 44167.1191725247. The cubic root of 1950734416 is about 1249.4898005322.

The spelling of 1950734416 in words is "one billion, nine hundred fifty million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 4204169 8408338 16816676 33633352 67266704 121920901 243841802 487683604 975367208 1950734416